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Differential Geometry, Part 1

About this Title

S. S. Chern and R. Osserman, Editors

Publication: Proceedings of Symposia in Pure Mathematics
Publication Year: 1975; Volume 27.1
ISBNs: 978-0-8218-0247-2 (print); 978-0-8218-9313-5 (online)
DOI: https://doi.org/10.1090/pspum/027.1

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Table of Contents

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Front/Back Matter

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Riemannian geometry

• L. Bérard-Bergery, J. P. Bourguignon and J. Lafontaine – Déformations localement triviales des variétés Riemanniennes [MR 0388467]
• Jean Pierre Bourguignon – Some constructions related to H. Hopf’s conjecture on product manifolds
• Kuo Tsai Chen – Connections, holonomy and path space homology [MR 0440540]
• A. Crumeyrolle – Spin fibrations over manifolds and generalised twistors [MR 0440474]
• Paul Ewing Ehrlich – Local convex deformations of Ricci and sectional curvature on compact manifolds [MR 0383315]
• James L. Heitsch and H. Blaine Lawson, Jr. – Transgressions, Chern-Simons invariants and the classical groups
• Horacio Hernández-Andrade – A class of compact manifolds with positive Ricci curvature [MR 0380668]
• Mu Chou Liu – Tangent bundles with Sasaki metric [MR 0420510]
• Yosio Mutō – Curvature and critical Riemannian metric
• Howard Osborn – Axioms for the Euler characteristic
• John J O’Sullivan – Riemannian manifolds without conjugate points
• Rolf Walter – Local and global properties of convex sets in Riemannian spaces
• Alan Weinstein – On the volume of manifolds all of whose geodesics are closed

Submanifolds

• David E. Blair – On a generalization of the catenoid
• Thomas E. Cecil – Geometric applications of critical point theory to submanifolds of complex projective space and hyperbolic space [MR 0377768]
• Bang-yen Chen – Mean curvature vector of a submanifold [MR 0377769]
• Robert B. Gardner – Geometry of submanifolds of euclidean spaces [MR 0380680]
• S. I. Goldberg – The Hopf conjecture concerning surfaces in $E^3$
• Nathaniel Grossman – Relative Chern-Lashof theorems
• David Hoffman and Joel Spruck – A Sobolev inequality for Riemannian submanifolds [MR 0377771]
• H. Blaine Lawson, Jr. – Minimal varieties [MR 0380597]
• Gerald D. Ludden and Koichi Ogiue – On a holomorphic analogue of vanishing normal scalar curvature [MR 0377784]
• Tilla Klotz Milnor – Complete, open surfaces in $E^3$ [MR 0380636]
• Tadashi Nagano and Brian Smyth – Minimal varieties in tori [MR 0417993]
• Katsumi Nomizu – Élie Cartan’s work on isoparametric families of hypersurfaces [MR 0423260]
• Koichi Ogiue – On Kaehler submanifolds [MR 0377786]
• Robert Osserman – Isoperimetric and related inequalitites [MR 0385686]
• Tominosuke Ôtsuki – Minimal submanifolds with $m$-index $2$ [MR 0390975]
• William F. Pohl – A problem of Ordnungsgeometrie [MR 0383326]
• Robert C. Reilly – On the Hessian of a function and the curvatures of its graph
• Donald H. Singley – Pairs of metrics on parallel hypersurfaces and ovaloids [MR 0390979]
• Michael Spivak – Some left-over problems from classical differential geometry [MR 0420516]
• Kentaro Yano – Manifolds and submanifolds with vanishing Weyl or Bochner curvature tensor

Foliations

• B. Cenkl – On the de Rham complex of $B\widehat {\Gamma }$ [MR 0385884]
• Lawrence Conlon – Locally free Lie transformation groups of codimension two [MR 0375344]
• K. deCesare and T. Nagano – On compact foliations [MR 0377924]
• Franz W. Kamber and Philippe Tondeur – Semisimplicial Weil algebras and characteristic classes for foliated bundles in Čech cohomology [MR 0385886]
• Ulrich Koschorke – Line fields transversal to foliations [MR 0383429]
• Joel Pasternack – Classifying spaces for Riemannian foliations [MR 0377929]
• Paul A. Schweitzer, S. J. – Codimension one plane fields and foliations
• Herbert Shulman – The double complex of $\Gamma _k$ [MR 0375308]
• William P. Thurston – A local construction of foliations for three-manifolds [MR 0380828]
• William P. Thurston – The theory of foliations of codimension greater than one [MR 0375345]
• H. E. Winkelnkemper – Locally free actions and Stiefel-Whitney numbers [MR 0375353]

Algebraic and piecewise linear topology

• Thomas F. Banchoff – Stiefel-Whitney homology classes and singularities of projections for polyhedral manifolds [MR 0377921]
• John D. Blanton and Paul A. Schweitzer, S. J. – Axioms for characteristic classes of manifolds [MR 0375339]
• Raoul Bott – On the Gelfand-Fuks cohomology [MR 0380820]
• John S. Maffei – On $H^* (\bar {G}_{s,q};R/Z)$, range group of some Chern-Simons invariants [MR 0377904]
• Clint McCrory – Euler singularities and homology operations [MR 0377920]
• John Milnor – Isolated critical points of complex functions [MR 0375351]
• Howard Osborn – The Chern-Weil construction [MR 0385882]
• Richard Porter – Characteristic classes and singularities of mappings [MR 0436172]

Miscellaneous

• Richard H. Escobales, Jr. – Riemannian submersions from spheres
• Leon Green – Some open problems in differential geometry [MR 0377707]
• Nathaniel Grossman – Some geometrical aspects of geodesy
• W. Klingenberg – The index theorem for closed geodesics
• Nicolaas H. Kuiper – The topology of the solutions of a linear homogeneous differential equation on $R^n$
• Jean E. Taylor – Unique structure of solutions to a class of nonelliptic variational problems [MR 0388225]
• James H. White – Twist invariants and the Pontryagin numbers of immersed manifolds [MR 0405455]