Geometry And Topology Of Submanifolds Vi

The topics covered are pure differential geometry, especially submanifolds and affine differential geometry, and applications of geometry to human vision, robotics, and gastro-entrology. Contents:A Riemannian Invariant for Submanifolds in Space Forms and Its Applications (B Y Chen)Some Variational Problems in Submanifold Theory (F Dillen)Isoparametric Systems on Symmetric Spaces (S Mullen)Focal Sets in Affine Geometry (R Niebergall  P J Ryan)Buckling Eigenvalues and Variational Problems for Surfaces in the Three Sphere (B Palmer)On Completeness of Compact Lorentzian Manifolds (A Romero & M Sánchez)On Para Sasakian Manifolds (R Rosca)A Unified Equiaffine Theory for Surfaces in R4, Part 1: The Definite Surfaces (C P Wang)Cartan's Method of Moving Frames Applied to the Study of Surfaces in Affine 4-Space (J L Weiner)A Survey on the Theory of Harmonic (Pseudo)-Riemannian Spaces (T J Willmore)Human Representation of Closed Contours (K Waeytens et al)Affine Shape Equivalence (J Wagemans et al)and other papers Readership: Mathematicians and engineers. keywords:

Contents:Progress in Affine Differential Geometry — Problem List and Continued Bibliography (T Binder & U Simon)On the Classification of Timelike Bonnet Surfaces (W H Chen & H Z Li)Affine Hyperspheres with Constant Affine Sectional Curvature (F Dillen et al.)Geometric Properties of the Curvature Operator (P Gilkey)On a Question of S S Chern Concerning Minimal Hypersurfaces of Spheres (I Hiric( & L Verstraelen)Parallel Pure Spinors on Pseudo-Riemannian Manifolds (I Kath)Twistorial Construction of Spacelike Surfaces in Lorentzian 4-Manifolds (F Leitner)Nirenberg's Problem in 90's (L Ma)A New Proof of the Homogeneity of Isoparametric Hypersurfaces with (g,m) = (6, 1) (R Miyaoka)Harmonic Maps and Negatively Curved Homogeneous Spaces (S Nishikawa)Biharmonic Morphisms Between Riemannian Manifolds (Y L Ou)Intrinsic Properties of Real Hypersurfaces in Complex Space Forms (P J Ryan)On the Nonexistence of Stable Minimal Submanifolds in Positively Pinched Riemannian Manifolds (Y B Shen & H Q Xu)Geodesic Mappings of the Ellipsoid (K Voss)η-Invariants and the Poincaré-Hopf Index Formula (W Zhang)and other papers Readership: Researchers in differential geometry and topology. Keywords:Conference;Proceedings;Berlin (Germany);Beijing (China);Geometry;Topology;Submanifolds X;Differential Geometry;Dedication

This proceedings consists of papers presented at the international meeting of Differential Geometry and Computer Vision held in Norway and of international meetings on Pure and Applied Differential Geometry held in Belgium. This volume is dedicated to Prof Dr Tom Willmore for his contribution to the development of the domain of differential geometry. Furthermore, it contains a survey on recent developments on affine differential geometry, including a list of publications and a problem list.

Contents:Morse Theory of Minimal Two-Spheres and Curvature of Riemannian Manifolds (J D Moore)Isoparametric Systems (A West)The Gauss Map of Flat Tori in S3 (J L Weiner)On Totally Real Surfaces in Sasakian Space Forms (B Opozda)The Riemannian Geometry of Minimal Immersions of S2 into CPn (J Bolton & L M Woodward)Totally Real Submanifolds (F Urbano)Notes on Totally Umbilical Submanifolds (R Deszcz)Totally Complex Submanifolds of Quaternionic Projective Space (A Martínez)Symmetries of Compact Symmetric Spaces (B Y Chen)Nonnegatively Curved Hypersurfaces in Hyperbolic Space (S B Alexander & R J Currier)Semi-Parallel Immersions (J Deprez)Parallel Hypersurfaces (S A Robertson)Surfaces in Spheres and Submanifolds of the Nearly Kaehler 6–Sphere (F Dillen & L Vrancken)Semi-Symmetric Hypersurfaces (I van de Woestijne)Canonical Affine Connection on Complex Hypersurfaces of the Complex Affine Space (F Dillen & L Vrancken)and other papers Readership: Mathematicians.

http://www.worldscientific.com/worldscibooks/10.1142/4122