Differential Geometry

Contents ......Page 5
Introduction ......Page 7
A Report on the Unitary Group -- RAOUL BOTT ......Page 9
Vector Bundles and Homogeneous Spaces -- M. F. ATIYAH and F. HIRZEBRUCH ......Page 15
A Procedure for Killing Homotopy Groups of Differentiable Manifolds -- JOHN MILNOR ......Page 47
Some Remarks on Homological Analysis and Structures -- D.C. SPENCER ......Page 64
Vector Form Methods and Deformations of Complex Structures -- ALBERT NIJENHUIS ......Page 95
Almost-Product Structures -- A. G. WALKER ......Page 102
Hornology of Principal Bundles -- ELDON DYER and R. K. LASHOF ......Page 109
Alexander-Pontrjagin Duality in Function Spaces -- JAMES EELLS, JR ......Page 117
The Cohomology of Lie Rings -- RICHARD S. PALAIS ......Page 138
On the Theory of Solvmanifolds and Generalization with Applications to Differential Geometry -- LOUIS AUSLANDER ......Page 146
Homogeneous Complex Contact Manifolds -- WILLIAM M. BOOTHBY ......Page 152
On Compact, Riemannian Manifolds with Constant Curvature. I -- EUGENIO CALABI ......Page 163
Elementary Remarks on Surfaces with Curvature of Fixed Sign -- L. NIRENBERG ......Page 189
Canonical Forms on Frame Bundles of Higher Order Contact -- SHOSHICHI KOBAYASHI ......Page 194
On Immersion of Manifolds -- HANS SAMELSON ......Page 202
Index ......Page 205