Complex, Contact and Symmetric Manifolds

by Kowalski, Oldrich; Musso, Emilio; Perrone, Domenico; INTERNATIONAL CONFERENCE CURVATURE IN G; Vanhecke, L.

• ISBN13: 9780817638504
• ISBN10: 0817638504
• Format: Hardcover
• Copyright: 2004-12-01
• Publisher: Birkhauser

Summary

This volume contains research and survey articles by well known and respected mathematicians on differential geometry and topology that have been collected and dedicated in honor of Lieven Vanhecke, as a tribute to his many fruitful and inspiring contributions to these fields.The papers, all written with the necessary introductory and contextual material, describe recent developments and research trends in spectral geometry, the theory of geodesics and curvature, contact and symplectic geometry, complex geometry, algebraic topology, homogeneous and symmetric spaces, and various applications of partial differential equations and differential systems to geometry. One of the key strengths of these articles is their appeal to non-specialists, as well as researchers and differential geometers.Contributors: D.E. Blair; E. Boeckx; A.A. Borisenko; G. Calvaruso; V. Cortés; P. de Bartolomeis; J.C. Díaz-Ramos; M. Djoric; C. Dunn; M. Fernández; A. Fujiki; E. García-Río; P.B. Gilkey; O. Gil-Medrano; L. Hervella; O. Kowalski; V. Muñoz; M. Pontecorvo; A.M. Naveira; T. Oguro; L. Schäfer; K. Sekigawa; C-L. Terng; K. Tsukada; Z. Vláek; E. Wang; and J.A. Wolf.

Table of Contents

Preface	vii
Curvature of Contact Metric Manifolds	1	(14)
David E. Blair
A Case for Curvature: the Unit Tangent Bundle	15	(12)
H. Eric Boeckx
Convex Hypersurfaces in Hadamard Manifolds	27	(14)
A. A. Borisenko
Contact Metric Geometry of the Unit Tangent Sphere Bundle	41	(18)
G. Calvaruso
Topological--antitopological Fusion Equations, Pluriharmonic Maps and Special Kahler Manifolds	59	(16)
Vicente Cortes
Lars Schafer
Z2 and Z-Deformation Theory for Holomorphic and Symplectic Manifolds	75	(30)
Paolo de Bartolomeis
Commutative Condition on the Second Fundamental Form of CR-submanifolds of Maximal CR-dimension of a Kahler Manifold	105	(16)
Mirjana Djoric
The Geography of Non-Formal Manifolds	121	(10)
Marisa Fernandez
Vicente Munoz
Total Scalar Curvatures of Geodesic Spheres and of Boundaries of Geodesic Disks	131	(14)
J. C. Diaz-Ramos
E. Garcia-Rio
L. Hervella
Curvature Homogeneous Pseudo-Riemannian Manifolds which are not Locally Homogeneous	145	(8)
Corey Dunn
Peter B. Gilkey
On Hermitian Geometry of Complex Surfaces	153	(12)
A. Fujiki
M. Pontecorvo
Unit Vector Fields that are Critical Points of the Volume and of the Energy: Characterization and Examples	165	(22)
Olga Gil-Medrano
On 3D-Riemannian Manifolds with Prescribed Ricci Eigenvalues	187	(22)
Oldrich Kowalski
Zdenek Vlasek
Two Problems in Real and Complex Integral Geometry	209	(12)
A. M. Naveira
Notes on the Goldberg Conjecture in Dimension Four	221	(14)
Takashi Oguro
Kouei Sekigawa
Curved Flats, Exterior Differential Systems, and Conservation Laws	235	(20)
Chuu-Lian Terng
Erxiao Wang
Symmetric Submanifolds of Riemannian Symmetric Spaces and Symmetric R-spaces	255	(10)
Kazumi Tsukada
Complex forms of Quaternionic Symmetric Spaces	265
Joseph A. Wolf