Richard Palais | Academic Influence

Richard Palais's AcademicInfluence.com Rankings

Richard Palais

Mathematics

#554

World Rank

#1061

Historical Rank

#250

USA Rank

Geometry

#29

World Rank

#57

Historical Rank

#10

USA Rank

Measure Theory

#602

World Rank

#835

Historical Rank

#246

USA Rank

mathematics Degrees

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Mathematics

Richard Palais's Degrees

PhD Mathematics Princeton University

Why Is Richard Palais Influential?

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According to Wikipedia, Richard Sheldon Palais is an American mathematician working in differential geometry. Education and career Palais studied at Harvard University, where he obtained a BA in 1952, a MA in 1954 and a Ph.D. in 1956. His PhD thesis, entitled A Global Formulation of the Lie Theory of Transformation Groups, was supervised by Andrew M. Gleason and George Mackey.

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Richard Palais's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The principle of symmetric criticality (1979) (941)
On the Existence of Slices for Actions of Non-Compact Lie Groups (1961) (606)
A Global Formulation of the Lie Theory of Transformation Groups (1957) (571)
Seminar on the Atiyah-Singer Index Theorem. (1968) (541)
Foundations of global non-linear analysis (1968) (508)
Critical Point Theory and Submanifold Geometry (1988) (440)
Morse theory on Hilbert manifolds (1963) (409)
HOMOTOPY THEORY OF INFINITE DIMENSIONAL MANIFOLDS (1966) (406)
Lusternik-Schnirelman theory on Banach manifolds (1966) (339)
A generalized Morse theory (1964) (283)
The classification of G-spaces (1960) (260)
Seminar on Atiyah-Singer Index Theorem. (AM-57) (1965) (222)
Natural operations on differential forms (1959) (220)
Local triviality of the restriction map for embeddings (1960) (194)
A general theory of canonical forms (1987) (175)
The classification of -spaces (1960) (106)
The symmetries of solitons (1997) (105)
Critical point theory and the minimax principle (1970) (99)
On the homotopy type of certain groups of operators (1965) (98)
Imbedding of Compact, Differentiable Transformation Groups in Orthogonal Representations (1957) (92)
Hyperpolar Actions on Symmetric Spaces (2001) (90)
Seminar on transformation groups (AM-46) (1961) (80)
A simple proof of the Banach contraction principle (2007) (79)
On a Class of Transformation Groups (1957) (67)
Natural bundles have finite order (1977) (66)
Equivalence of nearby differentiable actions of a compact group (1961) (65)
THE TOPOLOGY OF ISOPARAMETRIC SUBMANIFOLDS (1988) (58)
The cohomology of Lie rings (1961) (56)
A Disorienting Look at Euler's Theorem on the Axis of a Rotation (2009) (51)
Homeomorphic conjugacy of automorphisms on the torus (1965) (50)
The Visualization of Mathematics: Towards a Mathematical Exploratorium (1999) (46)
The Morse lemma for Banach spaces (1969) (45)
Euler’s fixed point theorem: The axis of a rotation (2007) (45)
Hyperpolar actions and k-flat homogeneous spaces. (1992) (45)
On the differentiability of isometries (1957) (45)
When proper maps are closed (1970) (44)
Torus bundles over a torus (1961) (39)
The Classification of Real Division Algebras (1968) (37)
DEFORMATIONS OF COMPACT DIFFERENTIABLE TRANSFORMATION GROUPS. (1960) (35)
Some Analogues of Hartogs' Theorem in an Algebraic Setting (1978) (28)
C 1 Actions of Compact Lie Groups on Compact Manifolds are C 1 -Equivalent to C ∞ Actions (1970) (22)
Real Algebraic Differential Topology (1981) (21)
The Cohomology of Differentiable Transformation Groups (1961) (19)
A definition of the exterior derivative in terms of Lie derivatives (1954) (16)
Differential Equations, Mechanics, and Computation (2012) (15)
Geometry and topology of isoparametric submanifolds in euclidean spaces. (1985) (9)
An Introduction to Wave Equations and Solitons (2000) (9)
Lectures on the differential topology of infinite dimensional manifolds : Mathematics 322, Brandeis University, 1964-1965 (1965) (8)
REDUCTION OF VARIABLES FOR MINIMAL SUBMANIFOLDS (1986) (7)
Uncountably many inequivalent analytic actions of a compact group on ⁿ (1963) (7)
The initial value problem for weakly nonlinear PDE (2014) (7)
Logarithmically exact differential forms (1961) (5)
On some generalizations of Ekeland ’ s principle and inward contractions in gauge spaces (2011) (4)
PointClouds: Distributing Points Uniformly on a Surface (2016) (4)
Proper Fredholm submanifolds in Hilbert spaces (1988) (4)
A TOPOLOGICAL GAUSS-BONNET THEOREM (1978) (4)
Shorter Notes: When Proper Maps are Closed (1970) (3)
2006 Visualization Challenge Winners (2006) (3)
Communication of Mathematics with TEX (2016) (3)
CHAPTER IV. DIFFERENTIAL OPERATORS ON VECTOR BUNDLES (1965) (2)
Global analysis in modern mathematics : a Symposium in honor of Richard Palais' sixtieth birthday (1993) (2)
Chasles’ fixed point theorem for Euclidean motions (2012) (2)
Topology of isoparametric submanifolds (1988) (2)
On the Glitch Phenomenon (2017) (2)
CHAPTER VIII: SLICES AND EQUIVARIANT IMBEDDINGS (1961) (2)
SOME ANALOGUES OF HARTOGS' THEOREM IN AN (2016) (1)
BANACH MANIFOLDS OF FIBER BUNDLE SECTIONS (2010) (1)
CHAPTER XVII. COBORDISM INVARIANCE OP THE ANALYTICAL INDEX (1965) (1)
The Life and Mathematics of Shiing-Shen Chern (1996) (0)
Parametrized curves and arclength (2009) (0)
CHAPTER IX. THE DISCRETE SOBOLEV CHAIN OF A VECTOR BUNDLE (1965) (0)
Linear differential equations (2009) (0)
Differential equations and their solutions (2009) (0)
Chasles’ fixed point theorem for Euclidean motions (2012) (0)
Annals of Mathematics On the Existence of Slices for Actions of Non-Compact Lie Groups (2010) (0)
Annals of Mathematics On the Existence of Slices for Actions of Non-Compact Lie Groups (2010) (0)
ALGEBRAIC, ANALYTIC AND DIFFERENTIABLE STRUCTURES. (1966) (0)
CHAPTER X. THE CONTINUOUS SOBOLEV CHAIN OF A VECTOR BUNDLE (1965) (0)
Local geometry of submanifolds (1988) (0)
sions of the topological theory of critical points of functions of points, curves, surfaces, etc., have been made by various authors. An incomplete list of those who have so (2016) (0)
A Mathematician and an Artist. The Story of a Collaboration (2012) (0)
Second-order ODE and the calculus of variations (2009) (0)
The Mathematical Exploratorium (2002) (0)
HOMEOMORPHIC CONJUGACY OF AUTOMORPHISMS (2016) (0)
Isadore M. Singer (1924–2021) In Memoriam Part 2: Personal Recollections (2022) (0)
III.49 Linear and Nonlinear Waves and Solitons (2010) (0)
CHAPTER XIII. WHITNEY SUMS (1965) (0)
Linear and Nonlinear Waves and Solitons (2007) (0)
Advanced critical point theory (1988) (0)
Coordinate systems and canonical forms (2009) (0)
Editors' remarks (on two complexity theory surveys in the Bulletin) (1992) (0)
MANIFOLDS ARE C1-EQUIVALENT TO C? ACTIONS. (2016) (0)
CHAPTER XI. THE SEELEY ALGEBRA (1965) (0)
Smoothness with respect to initial conditions (2009) (0)
MORSE THEORY ON HILBERT ~ANrF~LDS (2001) (0)
Vector fields as differential operators (2009) (0)
Calculus of Variations (2014) (0)
Canonical form for linear operators (2009) (0)
Linear algebra and analysis (2009) (0)
EXTERIOR DIFFERENTIAL CALCULUS IN GENERALIZED LIE ALGEBRAS (ALGEBROIDS) CATEGORY WITH APPLICATIONS TO INTERIOR AND EXTERIOR ALGEBRAIC (DIFFERENTIAL) SYSTEMS (2016) (0)
Iterative interpolation and its error (2009) (0)
Elementary critical point theory (1988) (0)
Weingarten Surfaces in three dimensional space forms (1988) (0)
The magic of iteration (2009) (0)
Artistic Representations of Mathematical Concepts and Ideas (2006) (0)
Editor's column (on an article by Jaffe and Quinn) (1994) (0)
logical space E then E is said to be a principal P-bundle if whenever the relation px=x holds for pEP, xCE it follows that p=e, the identity of P. The orbit space X=E/P is called the base space and (2016) (0)
Lecture 12 Curves in 3-space (2003) (0)
The initial value problem for weakly nonlinear PDE (2014) (0)
NEW ALGORITHMS FOR IMPLEMENTING AND INTERPOLATING ROTATIONS (2008) (0)
Asymmetric manifolds (Report withdrawn) (1971) (0)
CHAPTER VI. REVIEW OF FUNCTIONAL ANALYSIS (1965) (0)
CHAPTER XVI. CONSTRUCTION OF Intk (1965) (0)
CHAPTER XIV. TENSOR PRODUCTS (1965) (0)
Runge-Kutta Methods (2009) (0)
A COVERING HOMOTOPY THEOREM AND THE CLASSIFICATION OF G-SPACES. (1959) (0)
CHAPTER VII. FREDHDIM OPERATORS (1965) (0)
Differentiable Parametric Curves 11 . 1 Definitions and Examples (2003) (0)
CHAPTER VIII. CHAINS OP HILBERTIAN SPACES (1965) (0)

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