Geometry and Topology of Submanifolds, VIII

Proceedings of the International Meetings on Pure and Applied Differential Geometry & Differential Geometry and Computer Vision

International Meetings on Differential Geometry

, Belgium & Norway

, 13 – 14 July 1995 & 18 July – 7 August 1995

https://doi.org/10.1142/3206 | December 1996

Pages: 424

Edited by:
F Dillen (Katholieke University Leuven, Belgium),
B Komrakov (International Sophus Lie Center, Russia),
U Simon (Technical University Berlin, Germany),
I Van de Woestyne (Katholieke University Brussel, Belgium), and
L Verstraelen (Katholieke University Leuven and Brussel, Belgium)

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ISBN: 978-981-4547-51-2 (ebook) USD 37.00 Add to cart

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:

Isoparametric and Chen Submanifolds (S Carter & U Dursun)
Differential Geometry of Submanifolds with Arbitrary Codimensions (B-Y Chen)
Geometric Characterizations of Orthogonal Representations (S Console & G Thorbergsson)
Lagrangian Submanifolds of S6(1) (F Dillen)
Homogeneous Surfaces in the Three-Dimensional Affine Geometry (B Doubrov et al.)
Improper Affine Hypersurfaces (L Ferrer et al.)
Complete Nonorientable Minimal Surfaces (F J Lopez & F Martín)
Properly Embedded Minimal Surfaces with Finite Total Curvature (J Pérez & A Ros)
On the Geometry of the Complex Quadric (H Reckziegel)
Total Mean Curvature Squared of Surfaces (T J Willmore)

Readership: Mathematicians.

No Access

Geometry and topology of submanifolds VIII

Pages:1–426

https://doi.org/10.1142/9789814530873

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The Table of Contents for the book is as follows:

PREFACE
DEDICATION TO PROFESSOR T.J. WILLMORE
HOW I GOT TO KNOW TOM AND WHAT CAME OUT OF THIS ENCOUNTER
RECENT DEVELOPMENTS IN AFFINE DIFFERENTIAL GEOMETRY
FINITE TYPE IMMERSIONS AND THEIR PRODUCTS
Minimal Surfaces and the Toda Equations for the Classical Groups
Curvature Surfaces of Submanifolds of Pseudoriemannian Manifolds with Applications to Complex Space Forms
Isoparametric and Chen Submanifolds
Lagrangian surfaces with conformal Maslov form
COMPLEX EXTENSORS, LAGRANGIAN SUBMANIFOLDS AND LEGENDRE CURVES
DIFFERENTIAL GEOMETRY OF SUBMANIFOLDS WITH ARBITRARY CODIMENSIONS
Geometric characterizations of orthogonal representations
Complete systems of affine semi-differential invariants for plane and space curves
Biharmonic submanifolds and generalizations
ON CERTAIN CLASSES OF HYPERSURFACES IN SPACES OF CONSTANT CURVATURE
ON HYPERSURFACES WITH PSEUDOSYMMETRIC WEYL TENSOR
Multi local Invariants
LAGRANGIAN SUBMANIFOLDS OF S⁶(1)
RULED SURFACES OF CONSTANT MEAN CURVATURE IN 3-DIMENSIONAL MINKOWSKI SPACE
The Brachistochrone Problem: A Problem of Elementary Differential Geometry
HOMOGENEOUS SURFACES IN THE THREE-DIMENSIONAL AFFINE GEOMETRY
Some Results on Spherical k-Chen Submanifolds
IMPROPER AFFINE HYPERSPHERES
Contact Riemannian manifolds with constant φ-sectional curvature
AFFINE ROTATION SURFACES AND HYPERSURFACES
Classification of the flat equi-centroaffinely Homogeneous Surfaces in R⁴
COMPARISON THEOREMS FOR THE FIRST DIRICHLET EIGENVALUE ON A KÄHLER MANIFOLD WITH BOUNDARY
COMPLETE NONORIENTABLE MINIMAL SURFACES
SEMI-PARALLEL SUBMANIFOLDS AS SOME IMMERSED FIBRE BUNDLES WITH FLAT CONNECTIONS
A CLASSIFICATION OF REAL SEMI-SYMMETRIC CURVATURE OPERATORS IN DIMENSION FOUR
TOTALLY REAL AFFINE SURFACES IN ℝ⁴
Certain Submanifolds of a Sasakian Manifold
Affine differential geometry of degenerate hypersurfaces
Properly embedded minimal surfaces with finite total curvature
Euclidean self-calibration via the modulus constraint
A KINEMATIC MAPPING FOR PROJECTIVE AND AFFINE MOTIONS AND SOME APPLICATIONS
On the geometry of the complex quadric
ORIENTABLE INDEX ONE MINIMAL SURFACES PROPERLY EMBEDDED IN ORIENTABLE FLAT 3-SPACE FORMS
STABILITY OF GEODESIC SPHERES
Improper Immersions in Pseudo-Riemannian Manifolds
DIFFERENTIAL GEOMETRY OF 3-MANIFOLDS
SOME NOTES ON WARPED PRODUCT DECOMPOSITIONS OF ISOMETRIC IMMERSIONS
A CURVATURE INVARIANT FOR CENTROAFFINE HYPERSURFACES, PART II
How geometrical is human perception of affine and projective shape equivalence?
RULED SURFACES IN AFFINE SPACE TREATED IN THE KLEIN-MODEL
MORE ABOUT THE PUSH-OUT REGION OF A SUBMANIFOLD
TOTAL MEAN CURVATURE SQUARED OF SURFACES
AFFINE BIBLIOGRAPHY AND REFERENCES