#84,471

Most Influential Person

American mathematician

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.

- Continuous groups of transformations (1933) (367)
- Separable Systems of Stackel (1934) (298)
- A Treatise on the Differential Geometry of Curves and Surfaces (1961) (291)
- Dynamical Trajectories and Geodesics (192)
- Transformations of surfaces (1934) (116)
- 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) (86)
- Generalized Riemann Spaces. (1951) (61)
- Separable Systems in Euclidean 3-Space (1934) (54)
- Minimal Surfaces in Euclidean Four-Space (1912) (49)
- The Riemann Geometry and Its Generalization. (1922) (42)
- Triply Conjugate Systems with Equal Point Invariants (1919) (23)
- Stackel Systems in Conformal Euclidean Space (1935) (19)
- Transformation of Surfaces. (1915) (19)
- Fields of Parallel Vectors in Riemannian Space (1938) (18)
- Spaces with Corresponding Paths. (1922) (17)
- Space-time continua of perfect fluids in general relativity (1924) (14)
- Generalized Riemann Spaces: II. (1952) (13)
- Invariant Theory of Homogeneous Contact Transformations (1936) (13)
- A Fundamental Parametric Representation of Space Curves (12)
- The Geometry of Paths and General Relativity (1923) (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)
- American Mathematical Society Colloquium Publications, Volume Viii (9)
- Finsler Spaces Derived From Riemann Spaces by Contact Transformations (1948) (9)
- Transformations of surfaces of guichard and surfaces applicable to quadrics (1914) (9)
- Orthogonal systems of hypersurfaces in a general Riemann space (1923) (7)
- A UNIFIED THEORY OF GENERAL RELATIVITY OF GRAVITATION AND ELECTROMAGNETISM. II. (1956) (7)
- Surfaces Ω and their transformations (1915) (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 a quadratic first integral (1924) (5)
- Fields of Parallel Vectors in the Geometry of Paths. (1922) (5)
- Geometries of paths for which the equations of the paths admit $n(n+1)/2$ independent linear first integrals (1926) (5)
- Affine Geometries of Paths Possessing an Invariant Integral. (5)
- GRADUATE STUDY AND RESEARCH. (1936) (5)
- Einstein's Recent Theory of Gravitation and Electricity. (1926) (5)
- PROJECTIVE NORMAL COORDINATES. (1930) (4)
- Displacements in a Geometry of Paths Which Carry Paths into Paths. (1927) (4)
- Surfaces with Isothermal Representation of their Lines of Curvature and their Transformations: (Second Memoir) (1908) (4)
- Homogeneous Contact Transformations. (1950) (4)
- GENERALIZED RIEMANNIAN GEOMETRY. (1962) (4)
- GENERALIZED RIEMANNIAN GEOMETRY, II. (1962) (3)
- Equivalent Continuous Groups (1932) (3)
- Condition that a tensor be the curl of a vector (1922) (3)
- Conjugate Nets R and Their Transformations (1921) (3)
- Darboux's contribution to geometry (1918) (3)
- Congruences of curves (1903) (2)
- GENERALIZED RIEMANN SPACES AND GENERAL RELATIVITY. II. (1954) (2)
- Chapter II. Introduction of a metric (1950) (2)
- Transformations of surfaces of Voss (1914) (2)
- A UNIFIED THEORY OF GENERAL RELATIVITY OF GRAVITATION AND ELECTROMAGNETISM. (1956) (1)
- Ruled surfaces with isotropic generators (1912) (1)
- A UNIFIED THEORY OF GENERAL RELATIVITY OF GRAVITATION AND ELECTROMAGNETISM. IV. (1957) (1)
- Surfaces with the Same Spherical Representation of their Lines of Curvature as Pseudospherical Surfaces (1905) (1)
- Isothermal-Conjugate Systems of Lines on Surfaces (1903) (1)
- Spaces admitting complete absolute parallelism (1933) (1)
- Surfaces Which Can be Generated in More Than One Way by the Motion of an Invariable Curve (1918) (1)
- Congruences of Tangents to a Surface and Derived Congruences (1904) (1)
- Separation of the Variables of the Two-Particle Wave Equation. (1949) (1)
- Intransitive Groups of Motions. (1932) (1)
- Simply Transitive Groups of Motions (1936) (1)
- Christoffel's Mathematical Works (1914) (1)
- Conjugate Systems with Equal Point Invariants (1916) (1)
- THE RICCI PRINCIPAL DIRECTION VECTORS. (1959) (1)
- Transformations of surfaces Ω. II (1)
- Deformable transformations of Ribaucour (1916) (1)
- Henry Burchard Fine and the Fine Memorial Hall (1931) (1)
- Congruences of Parallelism of a Field of Vectors. (1926) (1)
- SPACES FOR WHICH THE RICCI SCALAR R IS EQUAL TO ZERO. II. (1959) (1)
- SPACES FOR WHICH THE RICCI SCALAR R IS EQUAL TO ZERO. (1958) (1)
- One-Parameter Families of Curves (1915) (1)
- Another Interpretation of the Fundamental Gaugevector of Weyl's Theory of Relativity. (1923) (1)
- The Permanent Gravitational Field in the Einstein Theory (1920) (1)
- Transformations of surfaces applicable to a quadric (1919) (1)
- Possible triply asymptotic systems of surfaces (1901) (1)
- GENERALIZED SPACES OF GENERAL RELATIVITY. (1959) (1)
- Three particular systems of lines on a surface (1904) (1)
- Transformations $T$ of conjugate systems of curves on a surface (1)
- Certain Surfaces with Plane or Spherical Lines of Curvature (1)
- GENERALIZED SPACES OF GENERAL RELATIVITY, II. (1959) (1)
- THE EINSTEIN EQUATIONS FOR THE SOLAR FIELD FROM THE NEWTONIAN POINT OF VIEW. (1922) (1)
- THE EINSTEIN GENERALIZED RIEMANNIAN GEOMETRY. (1963) (1)
- Generalized Riemann Spaces and General Relativity. (1953) (1)
- EINSTEIN AND SOLDNER. (1923) (1)
- Surfaces generated by the motion of an invariable curve whose points describe straight lines (1916) (1)
- Conjugate systems with equal tangential invariants and the transformation of moutard (1915) (1)
- Note on isotropic congruences (1902) (0)
- Chapter I: Curves in space (0)
- THE AMERICAN PHILOSOPHICAL SOCIETY. (1915) (0)
- A Book by an Elder Statesman@@@The Educational Process (1946) (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)
- Transformations of Planar Nets (1918) (0)
- Chapter VI: Systems of curves. Geodesics (0)
- Bianchi's Differential Geometry (0)
- Chapter III. Orthogonal ennuples (1950) (0)
- Conjugate Planar Nets with Equal Invariants (1917) (0)
- Infinitesimal Deformation of Surfaces (1902) (0)
- Chapter IV. Surfaces in Space (1950) (0)
- Surfaces referred to their lines of length zero (1903) (0)
- Chapter II. Transformation of Coordinates, Tensor Calculus (1950) (0)
- Transformations of conjugate systems with equal point invariants (1914) (0)
- Chapter XI: Infinitesimal deformation of surfaces (0)
- Transformations of minimal surfaces (1907) (0)
- Ricci's Principal Directions for a Riemann Space and the Einstein Theory. (1922) (0)
- Associate surfaces (0)
- Chapter IV: Geometry of a surface in the neighborhood of a point (0)
- THE PATHS OF RAYS OF LIGHT IN GENERALIZED GENERAL RELATIVITY OF THE NONSYMMETRIC FIELD V(4). (1962) (0)
- Chapter I. Tensor analysis (1950) (0)
- Chapter VI. Groups of motions (1950) (0)
- The Cosmology Problem in General Relativity (1960) (0)
- Conjugate rectilinear congruences (1902) (0)
- THE AUTUMN MEETING OF THE AMERICAN PHILOSOPHICAL SOCIETY. (1943) (0)
- Einstein and Soldner (1923) (0)
- Riemannian Spaces of Class Greater Than Unity (1937) (0)
- Lines of length zero on surfaces (1902) (0)
- To Prevent Misunderstanding (1949) (0)
- The Permanent Gravitational Field in the Einstein Theory. (1920) (0)
- Chapter III. Intrinsic Geometry of a Surface (1950) (0)
- The geometry of subspaces (1927) (0)
- Darboux's Principles of Geometry (1918) (0)
- Differential Geometry of $n$ Dimensional Space (1906) (0)
- Surfaces of Constant Mean Curvature (1903) (0)
- Chapter IV. The geometry of sub-spaces (1950) (0)
- Relativity and Modern Physics (1923) (0)
- Transformations of Surfaces Ω (Second Memoir) (0)
- SPACES IN WHICH THE GEODESICS ARE MINIMAL CURVES. (1962) (0)
- Surfaces whose Lines of Curvature in One System are Represented on the Sphere by Great Circles (1903) (0)
- THE AMERICAN PHILOSOPHICAL SOCIETY. (1912) (0)
- Infinitesimal deformation of the skew helicoid (1902) (0)
- Transformations of Applicable Conjugate Nets of Curves on Surfaces. (1917) (0)
- Congruences of the elliptic type (1910) (0)
- Transformations of Cyclic Systems of Circles. (1919) (0)
- The American Philosophical Society (1910) (0)
- Einstein Static Fields Admitting a Group G(2) of Continuous Transformations into Themselves. (1921) (0)
- Deformations of Transformations of Ribaucour. (1916) (0)
- Book Review: Invariants of Quadratic Differential Forms (1910) (0)
- Projective geometry of paths (1927) (0)
- Chapter IX: Deformation of surfaces (0)
- Three Books on Relativity (0)
- A demonstration of the impossibility of a triply asymptotic system of surfaces (0)
- Certain continuous deformations of surfaces applicable to the quadrics (1913) (0)
- Book Review: The Mathematical Theory of Relativity (0)
- Surfaces with Isothermal Representation of Their Lines of Curvature as Envelopes of Rolling (1915) (0)
- A UNIFIED THEORY OF GENERAL RELATIVITY OF GRAVITATION AND ELECTROMAGNETISM. III. (1956) (0)
- On the deformation of surfaces of translation (1905) (0)
- Surfaces of constant curvature and their transformations (1905) (0)
- ADVISORY COMMITTEE ON SCIENTIFIC PUBLICATIONS. (1942) (0)
- Chapter V. Sub-spaces of a flat space (1950) (0)
- THE PATHS OF RAYS OF LIGHT IN GENERAL RELATIVITY OF THE NONSYMMETRIC FIELD V(4). (1961) (0)
- THE FAR-SEEING WILSON (1947) (0)
- Surfaces whose first and second fundamental forms are the second and first respectively of another surface (1901) (0)
- The Twelve Surfaces of Darboux and the Transformation of Moutard (0)
- Letter from L. P. Eisenhart to Emmett L. Bennett Jr., April 21, 1953 (1953) (0)
- THE PATHS OF RAYS OF LIGHT IN GENERAL RELATIVITY. (1960) (0)
- Surfaces analogous to the surfaces of bianchi (1906) (0)
- SPACES WHICH ADMIT FIELDS OF NORMAL NULL VECTORS. (1960) (0)
- FIELDS OF UNIT VECTORS IN THE FOUR-SPACE OF GENERAL RELATIVITY. (1960) (0)
- Certain surfaces of voss and surfaces associated with them (1916) (0)
- Transformations of Conjugate Systems With Equal Invariants. (1915) (0)
- Transformations of applicable conjugate nets of curves on surfaces (1918) (0)
- Certain Triply Orthogonal Systems of Surfaces (1907) (0)
- The Einstein solar field (0)
- GENERALIZED RIEMANN SPACES AND GENERAL RELATIVITY. II (1953) (0)
- Triads of Transformations of Conjugate Systems of Curves. (1917) (0)
- Applicable surfaces with asymptotic lines of one surface corresponding to a conjugate system of another (0)

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