CONTENTS
Preface ix
Riemannian Geometry
Deformations localement triviales des varietes Riemanniennes 3
By L. BERARD BERGERY, J. P. BOURGUIGNON AND J. LAFONTAINE
Some constructions related to H. Hopf's conjecture on product manifolds .. . 33
By JEAN PIERRE BOURGUIGNON
Connections, holonomy and path space homology 39
By KUO-TSAI CHEN
Spin fibrations over manifolds and generalised twistors 53
By A. CRUMEYROLLE
Local convex deformations of Ricci and sectional curvature on compact
manifolds 69
By PAUL EWING EHRLICH
Transgressions, Chern-Simons invariants and the classical groups 72
By JAMES L. HEITSCH AND H. BLAINE LAWSON, JR.
A class of compact manifolds with positive Ricci curvature 73
By HORACIO HERNANDEZ-ANDRADE
Tangent bundles with Sasaki metric 89
By MU-CHOU LIU
Curvature and critical Riemannian metric 95
By Yosio MUTO
Axioms for the Euler characteristic 99
By HOWARD OSBORN
Riemannian manifolds without conjugate points 103
By JOHN J. O'SULLIVAN
Local and global properties of convex sets in Riemannian spaces 105
By ROLF WALTER
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