Geometry and Topology of Submanifolds VIII

by Dillen, F.; Komrakov, B.; Simon, U.; Verstraelen, L.; De Woestyne, I. Van

• ISBN13: 9789810227760
• ISBN10: 9810227760
• Format: Hardcover
• Copyright: 1996-12-01
• Publisher: World Scientific Pub Co

Table of Contents

Preface	xi
Dedication	xiii
How I got to know Tom and what came out of this encounter	xv
F. Petit
Recent developments in affine differential geometry	1	(15)
H. Liu
M. Magid
Ch. Scharlach
U. Simon
Finite type immersions and their products	16	(6)
K. Arslan
R. Ezentas
Minimal surfaces and the Toda equations for the classical groups	22	(9)
J. Bolton
L. M. Woodward
Curvature surface of submanifolds of pseudoriemannian manifolds with applications to complex space forms	31	(10)
R. Boning
Isoparametric and Chen submanifolds	41	(5)
S. Carter
U. Dursun
Lagrangian surfaces with conformal Maslov form	46	(10)
L Castro
Complex extensions, Lagrangian submanifolds and Legendre curves	56	(13)
B.-Y. Chen
Differential geometry of submanifolds with arbitrary codimensions	69	(5)
B.-Y. Chen
Geometric characterizations of orthogonal representations	74	(11)
S. Console
G. Thorbergsson
Complete systems of affine semi-differential invariants for plane and space curves	85	(10)
E. De Angelis
T. Moons
L. Van Gool
P. Verstraelen
Biharmonic submanifolds and generalizations	95	(6)
F. Defever
On certain classes of hypersurfaces in spaces of constant curvature	101	(10)
R. Deszcz
On hypersurfaces with pseudosymmetric Weyl tensor	111	(10)
R. Deszcz
L. Verstraelen
S. Yaprak
Multi local invariants	121	(17)
P. F. Dhooghe
Lagrangian submanifolds of S6(1)	138	(7)
F. Dillen
Ruled surfaces of constant mean curvature in 3-dimensional Minkowski space	145	(3)
F. Dillen
L Van de Woestyne
L. Verstraelen
J. Walrave
The Brachistochrone problem: A problem of elementary differential geometry	148	(20)
P. Dombrowski
Homogeneous surfaces in the three-dimensional affine geometry	168	(11)
B. Doubrov
B. Komrakov
M. Rabinovich
Some results on spherical k-Chen submanifolds	179	(8)
U. Dursun
Improper affine hyperspheres	187	(8)
L. Ferrer
A. Martinez
F. Milan
Contact Riemannian manifolds with constant φ-sectional curvature	195	(3)
T. Koufogiorgos
Affine rotation surfaces and hypersurfaces	198	(11)
P. Lehebel
Classification of the flat equi-centroaffinely homogeneous surfaces in R4	209	(12)
H. L. Liu
Comparison theorems for the first Dirichlet eigenvalue on a Kahler manifold with boundary	221	(10)
A. Lluch
Complete nonorientable minimal surfaces	231	(5)
F. J. Lopez
F. Martin
Semi-parallel submanifolds as some immersed fibre bundles with fiat connections	236	(9)
U. Lumiste
A classification of real semi-symmetric curvature operators in dimension four	245	(12)
U. Lumiste
Totally real affine surfaces in R4	257	(8)
M. Magid
L. Vrancken
Certain submanifolds of a Sasakian manifold	265	(4)
I. Mihai
Affine differential geometry of degenerate hypersurfaces	269	(11)
B. Opozda
Properly embedded minimal surfaces with finite total curvature	280	(2)
J. Perez
A. Ros
Euclidean self calibration via the modulus constraint	282	(10)
M. Pollefeys
L. Van Gool
A. Oosterlinck
A kinematic mapping for projective and affine motions and some applications	292	(10)
W. Rath
On the geometry of the complex quadric	302	(14)
H. Reckziegel
Orientable index one minimal surfaces properly embedded in orientable fiat 3-space forms	316	(4)
M. Ritore
Stability of geodesic spheres	320	(5)
H. J. Rivertz
P. Tomter
Improper immersions in pseudo-Riemannian manifolds	325	(7)
R. Roeca
Differential geometry of 3-manifolds	332	(5)
I. Sato
K. Matsumoto
Some notes on warped product decompositions of isometric immersions	337	(4)
M. Schaaf
A curvature invariant for centroaffine hypersurfaces, Part II	341	(10)
C. Scharlach
L. Vrancken
How geometrical is human perception of affine and projective shape equivalence?	351	(10)
J. Wagemans
Ruled surfaces in affine space treated in the Klein-model	361	(16)
G. Weis
More about the push-out region of a submanifold	377	(6)
A. West
Total mean curvature squared of surfaces	383	(10)
T. J. Willmore
Bibliography and References	393