Geometry and Topology of Submanifolds, VII : Differential Geometry in Honour of Prof. Katsumi Nomizu Belgium 9-14 July 1994

by Dillen, F.; Magid, M.; Simon, U.; Woestijne, I. Van De; Verstraelen, L.

• ISBN13: 9789810221959
• ISBN10: 9810221959
• Format: Hardcover
• Copyright: 1995-05-01
• Publisher: World Scientific Pub Co

Table of Contents

Preface
Opportunities and Indebtedness	p. 3
List of publications of Katsumi Nomizu	p. 7
Reflections on Some Differential Geometric Work of Katsumi Nomizu	p. 12
The Influence of Katsumi Nomizu on Affine Differential Geometry	p. 33
These Meetings, PADGE and Katsumi Nomizu	p. 52
Talk given by Martin Magid at the Differential Geometry Conference in Honor of Professor Katsumi Nomizu on July 9, 1994	p. 56
Remarks on K. Nomizu, the Person	p. 58
Felicitations de la part de l'Accademia Peloritana dei Pericolanti et de l'Universite de Messina	p. 59
Complex Functions of Analytic Type in the Domains of Euclidean 3-Space	p. 63
Compact Spacelike Hypersurfaces of Constant Mean Curvature in Generalized Robertson-Walker Spacetimes	p. 67
Tensor Product Surfaces of Pseudo-Euclidean Planar Curves	p. 71
On the Geometry of the 7-Sphere	p. 75
Integral Submanifolds of Sasakian Space Forms [actual symbol not reproducible]	p. 80
Geometry of Manifolds and Heat Content Asymptotics for Operators of Laplace Type	p. 84
On Harmonic 2-Spheres in S[superscript 4]	p. 88
Completeness of Curvature Surfaces of Submanifolds in Riemannian Manifolds	p. 92
The Pushout Space of a Spherical Submanifold	p. 96
Dupin Hypersurfaces	p. 100
Some Obstructions to Slant Immersions	p. 106
Pseudosymmetry	p. 110
Submanifolds of Restricted Type	p. 114
Projective Invariants of Pointed Curves	p. 118
Affine Harmonic and Affine Maximal Surfaces	p. 122
Curves and Ruled Surfaces of Finite Type in Minkowski Space	p. 124
Spaces of Riemannian Metrics on Open Manifolds	p. 128
Classification of Certain Semi-Riemannian Constant Mean Curvature Surfaces	p. 132
Causality Conditions and Hausdorff Orbit Spaces in Spacetimes	p. 136
On Holomorphically Pseudosymmetric Kahlerian Manifolds	p. 139
Conjugate Connections in Principal Bundles	p. 143
Reducibility of Homogeneous Riemannian Spaces and Nomizu Problem	p. 149
On a Class of 3-Contact Riemannian Manifolds	p. 151
Pseudo Riemannian Metrics with Signature Type Change	p. 155
Oscillator and Pendulum Equation on Pseudo-Riemannian Manifolds, and Conformal Vector Fields	p. 159
On Generalized Affine Rotation Surfaces	p. 164
The Method of the Moving Frame Applied to Prove a Result of Nomizu-Sasaki. Generalization to the Complex Case	p. 168
The Centroaffine Tchebychev Operator	p. 172
Modified Nomizu Problem for Semi-Parallel Submanifolds	p. 176
Affine Definite 2-Spheres in R[superscript 4]	p. 182
Certain Submanifolds of a Kaehler Manifold	p. 186
Tensor Product Surfaces of Euclidean Plane Curves	p. 189
Harmonic Connections and Holomorphic Connections	p. 193
Affine Connection and Their Use	p. 197
On Certain Affine Immersions into Locally Symmetric Spaces	p. 204
On Surfaces with Vanishing Gaussian Curvature	p. 208
Stability of Minimal Lagrangian Submanifolds	p. 211
Curves of Finite Type and k-Minimal Curves	p. 214
Le repere canonique de Pespace homogene	p. 218
Hypersurfaces with Parallel Ricci Tensor in Spaces of Constant Curvature	p. 221
On K-Left Invariant Almost Contact 3-Structures	p. 225
Closed Curves on a Flat Affine 2-Torus	p. 228
Certain Hypersurfaces in Euclidean 5-Spaces	p. 231
Centroaffine Surface Theory in R[superscript 4]	p. 235
On the Index of Parallel Immersions in a Higher Codimensional Case	p. 240
A Certain Affine Bernstein Problem	p. 244
Codazzi Transformations	p. 248
The Spectrum and Global Inverse Function Theorems	p. 253
Construction and Visualization of Slant Immersions	p. 257
Minimal Homothetical Hypersurfaces of Semi-Euclidean Spaces	p. 261
Characteristic Directions	p. 265
On the Metric Structure of Nonnegatively Curved Manifolds	p. 268
A Unified Equiaffine Theory for Indefinite Surfaces in R[superscript 4]	p. 271
Rigidity of Clifford Tori	p. 274
From Differential Geometry Through Arrangements of Hyperplanes to Matrices over Z[subscript 2] and Back	p. 278
Almost Symplectic and Almost Complex Structures	p. 282
On Hypersurfaces of Finite Type	p. 289
Differential Geometry for Complaint Motion Robot Tasks	p. 295
Size Functions: A New Topological Approach to Shape Analysis	p. 299
Geometrical Structure from Perspective Image Pairs	p. 305
Geometry-Driven Evolution and Functional Optimization for Curves	p. 309
List of Participants	p. 313
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