Author : Franki Dillen
Publisher : World Scientific
Page : 326 pages
File Size : 24,9 MB
Release : 1994-09-30
Category :
ISBN : 9814550655
The topics covered are pure differential geometry, especially submanifolds and affine differential geometry, and applications of geometry to human vision, robotics, and gastro-entrology.
Author : Nicolaas Hendrik Kuiper
Publisher : Cambridge University Press
Page : 372 pages
File Size : 44,26 MB
Release : 1997-11-13
Category : Mathematics
ISBN : 9780521620475
First published in 1997, this book contains six in-depth articles on various aspects of the field of tight and taut submanifolds and concludes with an extensive bibliography of the entire field. The book is dedicated to the memory of Nicolaas H. Kuiper; the first paper is an unfinished but insightful survey of the field of tight immersions and maps written by Kuiper himself. Other papers by leading researchers in the field treat topics such as the smooth and polyhedral portions of the theory of tight immersions, taut, Dupin and isoparametric submanifolds of Euclidean space, taut submanifolds of arbitrary complete Riemannian manifolds, and real hypersurfaces in complex space forms with special curvature properties. Taken together these articles provide a comprehensive survey of the field and point toward several directions for future research.
Author : Franki Dillen
Publisher : World Scientific
Page : 362 pages
File Size : 34,67 MB
Release : 1993-09-30
Category :
ISBN : 9814552488
Author :
Publisher :
Page : 860 pages
File Size : 40,76 MB
Release : 2002
Category : Mathematics
ISBN :
Author : Stefan Haesen
Publisher : Springer
Page : 289 pages
File Size : 32,95 MB
Release : 2016-12-21
Category : Mathematics
ISBN : 9462392404
A variety of introductory articles is provided on a wide range of topics, including variational problems on curves and surfaces with anisotropic curvature. Experts in the fields of Riemannian, Lorentzian and contact geometry present state-of-the-art reviews of their topics. The contributions are written on a graduate level and contain extended bibliographies. The ten chapters are the result of various doctoral courses which were held in 2009 and 2010 at universities in Leuven, Serbia, Romania and Spain.
Author : Sorin Dragomir
Publisher : Springer
Page : 402 pages
File Size : 15,61 MB
Release : 2016-05-31
Category : Mathematics
ISBN : 9811009163
This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. CR structures are a bundle theoretic recast of the tangential Cauchy–Riemann equations in complex analysis involving several complex variables. The book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR submanifolds. Intended as a tribute to Professor Aurel Bejancu, who discovered the notion of a CR submanifold of a Hermitian manifold in 1978, the book provides an up-to-date overview of several topics in the geometry of CR submanifolds. Presenting detailed information on the most recent advances in the area, it represents a useful resource for mathematicians and physicists alike.
Author :
Publisher :
Page : 3116 pages
File Size : 15,26 MB
Release : 1998
Category : Bibliography, National
ISBN :
Author : F.J.E. Dillen
Publisher : Elsevier
Page : 1067 pages
File Size : 32,22 MB
Release : 1999-12-16
Category : Mathematics
ISBN : 0080532837
In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography.
Author : Thomas E. Cecil
Publisher : Springer Science & Business Media
Page : 214 pages
File Size : 35,78 MB
Release : 2007-11-26
Category : Mathematics
ISBN : 0387746552
Thomas Cecil is a math professor with an unrivalled grasp of Lie Sphere Geometry. Here, he provides a clear and comprehensive modern treatment of the subject, as well as its applications to the study of Euclidean submanifolds. It begins with the construction of the space of spheres, including the fundamental notions of oriented contact, parabolic pencils of spheres, and Lie sphere transformations. This new edition contains revised sections on taut submanifolds, compact proper Dupin submanifolds, reducible Dupin submanifolds, and the cyclides of Dupin. Completely new material on isoparametric hypersurfaces in spheres and Dupin hypersurfaces with three and four principal curvatures is also included. The author surveys the known results in these fields and indicates directions for further research and wider application of the methods of Lie sphere geometry.
Author : Vladimir Oliker
Publisher : American Mathematical Soc.
Page : 166 pages
File Size : 35,48 MB
Release : 1992
Category : Mathematics
ISBN : 0821851357
This volume contains the proceedings of an AMS Special Session on Geometry, Physics, and Nonlinear PDEs, The conference brought together specialists in Monge-Ampere equations, prescribed curvature problems, mean curvature, harmonic maps, evolution with curvature-dependent speed, isospectral manifolds, and general relativity. An excellent overview of the frontiers of research in these areas.
