# Luther P. Eisenhart

American mathematician

## Luther P. Eisenhart's AcademicInfluence.com Rankings

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Mathematics

## Luther P. Eisenhart's Degrees

- PhD Mathematics University of Göttingen

## Why Is Luther P. Eisenhart Influential?

(Suggest an Edit or Addition)According to Wikipedia, Luther Pfahler Eisenhart was an American mathematician, best known today for his contributions to semi-Riemannian geometry. Life Eisenhart was born in York, Pennsylvania, and graduated from Gettysburg College in 1896. He earned his doctorate in 1900 at Johns Hopkins University, where he was influenced by the work of Gaston Darboux and at shorter range by that of Thomas Craig. During the next two decades, Eisenhart's research focused on moving frames after the French school, but around 1921 took a different turn when he became enamored of the mathematical challenges and entrancing beauty of a new theory of gravitation, Albert Einstein's general theory of relativity.

## Luther P. Eisenhart's Published Works

### Published Works

- Continuous groups of transformations (1933) (366)
- Separable Systems of Stackel (1934) (307)
- A Treatise on the Differential Geometry of Curves and Surfaces (1961) (303)
- Dynamical Trajectories and Geodesics (200)
- Transformations of surfaces (1934) (118)
- Enumeration of Potentials for Which One-Particle Schroedinger Equations Are Separable (1948) (109)
- Symmetric tensors of the second order whose first covariant derivatives are zero (1923) (91)
- Generalized Riemann Spaces. (1951) (62)
- Separable Systems in Euclidean 3-Space (1934) (54)
- Minimal Surfaces in Euclidean Four-Space (1912) (50)
- The Riemann Geometry and Its Generalization. (1922) (42)
- Triply Conjugate Systems with Equal Point Invariants (1919) (23)
- Stackel Systems in Conformal Euclidean Space (1935) (20)
- Transformation of Surfaces. (1915) (19)
- Spaces with Corresponding Paths. (1922) (18)
- Fields of Parallel Vectors in Riemannian Space (1938) (18)
- Space-time continua of perfect fluids in general relativity (1924) (14)
- Invariant Theory of Homogeneous Contact Transformations (1936) (13)
- Generalized Riemann Spaces: II. (1952) (13)
- The Geometry of Paths and General Relativity (1923) (12)
- A Fundamental Parametric Representation of Space Curves (12)
- Linear Connections of a Space Which Are Determined by Simply Transitive Continuous Groups. (1925) (11)
- Fields of parallel vectors in a Riemannian geometry (1925) (10)
- Finsler Spaces Derived From Riemann Spaces by Contact Transformations (1948) (9)
- Transformations of surfaces of guichard and surfaces applicable to quadrics (1914) (9)
- American Mathematical Society Colloquium Publications, Volume Viii (9)
- Orthogonal systems of hypersurfaces in a general Riemann space (1923) (7)
- Surfaces Ω and their transformations (1915) (7)
- A UNIFIED THEORY OF GENERAL RELATIVITY OF GRAVITATION AND ELECTROMAGNETISM. II. (1956) (7)
- Groups of Motions and Ricci Directions (1935) (6)
- Separation of the Variables in the One-Particle Schroedinger Equation in 3-Space. (1949) (6)
- Geometries of paths for which the equations of the paths admit $n(n+1)/2$ independent linear first integrals (1926) (5)
- Geometries of paths for which the equations of the paths admit a quadratic first integral (1924) (5)
- Fields of Parallel Vectors in the Geometry of Paths. (1922) (5)
- GRADUATE STUDY AND RESEARCH. (1936) (5)
- Einstein's Recent Theory of Gravitation and Electricity. (1926) (5)
- Affine Geometries of Paths Possessing an Invariant Integral. (5)
- PROJECTIVE NORMAL COORDINATES. (1930) (4)
- Homogeneous Contact Transformations. (1950) (4)
- Surfaces with Isothermal Representation of their Lines of Curvature and their Transformations: (Second Memoir) (1908) (4)
- Displacements in a Geometry of Paths Which Carry Paths into Paths. (1927) (4)
- GENERALIZED RIEMANNIAN GEOMETRY. (1962) (4)
- GENERALIZED RIEMANNIAN GEOMETRY, II. (1962) (3)
- Darboux's contribution to geometry (1918) (3)
- Conjugate Nets R and Their Transformations (1921) (3)
- Equivalent Continuous Groups (1932) (3)
- Condition that a tensor be the curl of a vector (1922) (3)
- Congruences of curves (1903) (2)
- Chapter II. Introduction of a metric (1950) (2)
- Transformations of surfaces of Voss (1914) (2)
- GENERALIZED RIEMANN SPACES AND GENERAL RELATIVITY. II. (1954) (2)
- GENERALIZED SPACES OF GENERAL RELATIVITY, II. (1959) (1)
- THE RICCI PRINCIPAL DIRECTION VECTORS. (1959) (1)
- GENERALIZED SPACES OF GENERAL RELATIVITY. (1959) (1)
- Christoffel's Mathematical Works (1914) (1)
- Congruences of Tangents to a Surface and Derived Congruences (1904) (1)
- Congruences of Parallelism of a Field of Vectors. (1926) (1)
- Generalized Riemann Spaces and General Relativity. (1953) (1)
- One-Parameter Families of Curves (1915) (1)
- Spaces admitting complete absolute parallelism (1933) (1)
- Deformable transformations of Ribaucour (1916) (1)
- Conjugate systems with equal tangential invariants and the transformation of moutard (1915) (1)
- Transformations of surfaces Ω. II (1)
- Transformations of surfaces applicable to a quadric (1919) (1)
- Intransitive Groups of Motions. (1932) (1)
- Another Interpretation of the Fundamental Gaugevector of Weyl's Theory of Relativity. (1923) (1)
- Surfaces Which Can be Generated in More Than One Way by the Motion of an Invariable Curve (1918) (1)
- Certain Surfaces with Plane or Spherical Lines of Curvature (1)
- THE EINSTEIN EQUATIONS FOR THE SOLAR FIELD FROM THE NEWTONIAN POINT OF VIEW. (1922) (1)
- Surfaces with the Same Spherical Representation of their Lines of Curvature as Pseudospherical Surfaces (1905) (1)
- SPACES FOR WHICH THE RICCI SCALAR R IS EQUAL TO ZERO. II. (1959) (1)
- Simply Transitive Groups of Motions (1936) (1)
- A UNIFIED THEORY OF GENERAL RELATIVITY OF GRAVITATION AND ELECTROMAGNETISM. (1956) (1)
- Isothermal-Conjugate Systems of Lines on Surfaces (1903) (1)
- Surfaces generated by the motion of an invariable curve whose points describe straight lines (1916) (1)
- Transformations $T$ of conjugate systems of curves on a surface (1)
- A UNIFIED THEORY OF GENERAL RELATIVITY OF GRAVITATION AND ELECTROMAGNETISM. IV. (1957) (1)
- Possible triply asymptotic systems of surfaces (1901) (1)
- Conjugate Systems with Equal Point Invariants (1916) (1)
- SPACES FOR WHICH THE RICCI SCALAR R IS EQUAL TO ZERO. (1958) (1)
- THE EINSTEIN GENERALIZED RIEMANNIAN GEOMETRY. (1963) (1)
- Henry Burchard Fine and the Fine Memorial Hall (1931) (1)
- Ruled surfaces with isotropic generators (1912) (1)
- Three particular systems of lines on a surface (1904) (1)
- The Permanent Gravitational Field in the Einstein Theory (1920) (1)
- EINSTEIN AND SOLDNER. (1923) (1)
- Separation of the Variables of the Two-Particle Wave Equation. (1949) (1)
- THE PATHS OF RAYS OF LIGHT IN GENERALIZED GENERAL RELATIVITY OF THE NONSYMMETRIC FIELD V(4). (1962) (0)
- A Book by an Elder Statesman@@@The Educational Process (1946) (0)
- Surfaces whose Lines of Curvature in One System are Represented on the Sphere by Great Circles (1903) (0)
- Ricci's Principal Directions for a Riemann Space and the Einstein Theory. (1922) (0)
- The American Philosophical Society (1910) (0)
- The Twelve Surfaces of Darboux and the Transformation of Moutard (0)
- Surfaces with Isothermal Representation of Their Lines of Curvature as Envelopes of Rolling (1915) (0)
- A demonstration of the impossibility of a triply asymptotic system of surfaces (0)
- SPACES IN WHICH THE GEODESICS ARE MINIMAL CURVES. (1962) (0)
- Infinitesimal deformation of the skew helicoid (1902) (0)
- Chapter VI. Groups of motions (1950) (0)
- Chapter II. Transformation of Coordinates, Tensor Calculus (1950) (0)
- Transformations of Cyclic Systems of Circles. (1919) (0)
- THE AMERICAN PHILOSOPHICAL SOCIETY. (1915) (0)
- The Permanent Gravitational Field in the Einstein Theory. (1920) (0)
- Chapter III. Orthogonal ennuples (1950) (0)
- FIELDS OF UNIT VECTORS IN THE FOUR-SPACE OF GENERAL RELATIVITY. (1960) (0)
- Congruences of the elliptic type (1910) (0)
- Book Review: Invariants of Quadratic Differential Forms (1910) (0)
- Surfaces of Constant Mean Curvature (1903) (0)
- Einstein and Soldner (1923) (0)
- On the deformation of surfaces of translation (1905) (0)
- GENERALIZED RIEMANN SPACES AND GENERAL RELATIVITY. II (1953) (0)
- Certain surfaces of voss and surfaces associated with them (1916) (0)
- Transformations of Planar Nets (1918) (0)
- Chapter IV: Geometry of a surface in the neighborhood of a point (0)
- Letter from L. P. Eisenhart to Emmett L. Bennett Jr., April 21, 1953 (1953) (0)
- Surfaces of constant curvature and their transformations (1905) (0)
- Chapter VI: Systems of curves. Geodesics (0)
- Associate surfaces (0)
- The geometry of subspaces (1927) (0)
- Bianchi's Differential Geometry (0)
- Transformations of Applicable Conjugate Nets of Curves on Surfaces. (1917) (0)
- Riemannian Spaces of Class Greater Than Unity (1937) (0)
- Surfaces referred to their lines of length zero (1903) (0)
- Deformations of Transformations of Ribaucour. (1916) (0)
- ADVISORY COMMITTEE ON SCIENTIFIC PUBLICATIONS. (1942) (0)
- Transformations of minimal surfaces (1907) (0)
- Conjugate rectilinear congruences (1902) (0)
- Surfaces whose first and second fundamental forms are the second and first respectively of another surface (1901) (0)
- Chapter IV. The geometry of sub-spaces (1950) (0)
- SPACES WHICH ADMIT FIELDS OF NORMAL NULL VECTORS. (1960) (0)
- Applicable surfaces with asymptotic lines of one surface corresponding to a conjugate system of another (0)
- Differential Geometry of $n$ Dimensional Space (1906) (0)
- Infinitesimal Deformation of Surfaces (1902) (0)
- Transformations of conjugate systems with equal point invariants (1914) (0)
- Triads of Transformations of Conjugate Systems of Curves. (1917) (0)
- Chapter XI: Infinitesimal deformation of surfaces (0)
- Transformations of Conjugate Systems With Equal Invariants. (1915) (0)
- Chapter III. Intrinsic Geometry of a Surface (1950) (0)
- Conjugate Planar Nets with Equal Invariants (1917) (0)
- Chapter IX: Deformation of surfaces (0)
- Chapter I: Curves in space (0)
- Relativity and Modern Physics (1923) (0)
- THE AUTUMN MEETING OF THE AMERICAN PHILOSOPHICAL SOCIETY. (1943) (0)
- A UNIFIED THEORY OF GENERAL RELATIVITY OF GRAVITATION AND ELECTROMAGNETISM. III. (1956) (0)
- Transformations of applicable conjugate nets of curves on surfaces (1918) (0)
- Errata: “Applicable surfaces with asymptotic lines of one surface corresponding to a conjugate system of another” [Trans.\ Amer.\ Math.\ Soc. 8 (1907), no. 1, 113–134; 1500778] (1907) (0)
- Book Review: The Mathematical Theory of Relativity (0)
- Certain Triply Orthogonal Systems of Surfaces (1907) (0)
- THE PATHS OF RAYS OF LIGHT IN GENERAL RELATIVITY OF THE NONSYMMETRIC FIELD V(4). (1961) (0)
- Chapter IV. Surfaces in Space (1950) (0)
- Surfaces analogous to the surfaces of bianchi (1906) (0)
- Chapter V. Sub-spaces of a flat space (1950) (0)
- Darboux's Principles of Geometry (1918) (0)
- Three Books on Relativity (0)
- Einstein Static Fields Admitting a Group G(2) of Continuous Transformations into Themselves. (1921) (0)
- Note on isotropic congruences (1902) (0)
- Transformations of Surfaces Ω (Second Memoir) (0)
- Chapter I. Tensor analysis (1950) (0)
- THE FAR-SEEING WILSON (1947) (0)
- To Prevent Misunderstanding (1949) (0)
- The Cosmology Problem in General Relativity (1960) (0)
- THE PATHS OF RAYS OF LIGHT IN GENERAL RELATIVITY. (1960) (0)
- Certain continuous deformations of surfaces applicable to the quadrics (1913) (0)
- The Einstein solar field (0)
- Lines of length zero on surfaces (1902) (0)
- Projective geometry of paths (1927) (0)
- THE AMERICAN PHILOSOPHICAL SOCIETY. (1912) (0)

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