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Differential geometry : proceedings of the Symposium in Pure Mathematics of the American Mathematical Society, held at Stanford University, Stanford, California, July 30-August 17, 1973 / edited by S.S. Chern and R. Osserman.
- Format:
- Book
- Conference/Event
- Conference Name:
- Symposium in Pure Mathematics (1973 : Stanford University), issuing body.
- Symposium in Pure Mathematics
- Series:
- Proceedings of symposia in pure mathematics ; volume 27, part 1.
- Proceedings of symposia in pure mathematics ; volume 27, part 1
- Language:
- English
- Subjects (All):
- Geometry, Differential--Congresses.
- Geometry, Differential.
- Physical Description:
- 1 online resource (463 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, 1975.
- Language Note:
- English
- Summary:
- Contains sections on Riemannian geometry, Submanifolds, Foliations, Algebraic and piecewise linear topology.
- Contents:
- ""Contents""; ""Preface""; ""Riemannian Geometry""; ""Deformations localement triviales des varietes Riemanniennes""; ""Some constructions related to H. Hopf's conjecture on product manifolds""; ""Connections, holonomy and path space homology""; ""Spin fibrations over manifolds and generalised twistors""; ""Local convex deformations of Ricci and sectional curvature on compact manifolds""; ""Transgressions, Chern-Simons invariants and the classical groups""; ""A class of compact manifolds with positive Ricci curvature""; ""Tangent bundles with Sasaki metric""
- ""Curvature and critical Riemannian metric""""Axioms for the Euler characteristic""; ""Riemannian manifolds without conjugate points""; ""Local and global properties of convex sets in Riemannian spaces""; ""On the volume of manifolds all of whose geodesies are closed""; ""Submanifolds""; ""On a generalization of the catenoid""; ""Geometric applications of critical point theory to submanifolds of complex projective space and hyperbolic space""; ""Mean curvature vector of a submanifold""; ""Geometry of submanifolds of Euclidean spaces""; ""The Hopf conjecture concerning surfaces in E[sup(3)] ""
- ""Relative Chern-Lashof theorems""""A Sobolev inequality for Riemannian submanifolds""; ""Minimal varieties*""; ""On a holomorphic analogue of vanishing normal scalar curvature""; ""Complete, open surfaces in E[sup(3)]""; ""Minimal varieties in tori""; ""Elie Cartan's work on isoparametric families of hypersurfaces""; ""On Kaehler submanifolds""; ""Isoperimetric and related inequalities""; ""Minimal submanifolds with m-index 2""; ""A problem of Ordnungsgeometrie""; ""On the Hessian of a function and the curvatures of its graph""; ""Pairs of metrics on parallel hypersurfaces and ovaloids""
- ""Some left-over problems from classical differential geometry""""Manifolds and submanifolds with vanishing Weyl or Bochner curvature tensor""; ""Foliations""; ""On the de Rham complex of B[omitted]""; ""Locally free Lie transformation groups of codimension two""; ""On compact foliations""; ""Semisimplicial Weil algebras and characteristic classes for foliated bundles in Cech cohomology""; ""Line fields transversal to foliations""; ""Classifying spaces for Riemannian foliations""; ""Codimension one plane fields and foliations""; ""The double complex of [omitted]""
- ""A local construction of foliations for three-manifolds""""The theory of foliations of codimension greater than one""; ""Locally free actions and Stiefel-Whitney numbers""; ""Algebraic and Piecewise Linear Topology""; ""Stiefel-Whitney homology classes and singularities of projections for polyhedral manifolds""; ""Axioms for characteristic classes of manifolds""; ""On the Gelfand-Fuks cohomology*""; ""On H* (G[sub(s,q)]; R/Z), range group of some Chern-Simons invariants""; ""Euler singularities and homology operations""; ""Isolated critical points of complex functions""
- ""The Chern-Weil construction""
- Notes:
- Prepared by the American Mathematical Society with the partial support of National Science Foundation Grant GP-37243.
- Includes bibliographical references and index.
- Description based on online resource; title from PDF title page (ebrary, viewed May 19, 2014).
- ISBN:
- 0-8218-9313-0
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