Geometry And Topology Of Submanifolds Vii: Differential Geometry In Honour Of Prof Katsumi Nomizu
Geometry And Topology Of Submanifolds Vii: Differential Geometry In Honour Of Prof Katsumi Nomizu

Author: Franki Dillen

Publisher: World Scientific

Published: 1995-05-09

Total Pages: 334

ISBN-13: 9814549460

DOWNLOAD EBOOK

This volume on pure and applied differential geometry, includes topics on submanifold theory, affine differential geometry and applications of geometry in engineering sciences. The conference was dedicated to the 70th birthday of Prof Katsumi Nomizu. Papers on the scientific work and life of Katsumi Nomizu are also included.

Riemannian Manifolds Of Conullity Two
Riemannian Manifolds Of Conullity Two

Author: Eric Boeckx

Publisher: World Scientific

Published: 1996-11-09

Total Pages: 319

ISBN-13: 9814498556

DOWNLOAD EBOOK

This book deals with Riemannian manifolds for which the nullity space of the curvature tensor has codimension two. These manifolds are “semi-symmetric spaces foliated by Euclidean leaves of codimension two” in the sense of Z I Szabó. The authors concentrate on the rich geometrical structure and explicit descriptions of these remarkable spaces. Also parallel theories are developed for manifolds of “relative conullity two”. This makes a bridge to a survey on curvature homogeneous spaces introduced by I M Singer. As an application of the main topic, interesting hypersurfaces with type number two in Euclidean space are discovered, namely those which are locally rigid or “almost rigid”. The unifying method is solving explicitly particular systems of nonlinear PDE.

New Developments in Differential Geometry, Budapest 1996
New Developments in Differential Geometry, Budapest 1996

Author: J. Szenthe

Publisher: Springer Science & Business Media

Published: 1999

Total Pages: 542

ISBN-13: 9780792353072

DOWNLOAD EBOOK

The 36 lectures presented at the July 1996 conference all contain new developments in their respective subjects. Beyond the traditional differential geometry subjects, several popular ones such as Einstein manifolds and symplectic geometry are well represented. Subjects include almost Grassmann structures; harmonic maps between almost para-Hermitian manifolds; coeffective cohomology of quaternionic Kahler manifolds; time-dependent mechanical systems with non-linear constraints; the equation defining isothermic surfaces in Laguere geometry; optimal control problems on matrix Lie groups; and leaves of transversely affine foliations. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Semiparallel Submanifolds in Space Forms
Semiparallel Submanifolds in Space Forms

Author: Ülo Lumiste

Publisher: Springer Science & Business Media

Published: 2009-03-02

Total Pages: 306

ISBN-13: 038749913X

DOWNLOAD EBOOK

Quite simply, this book offers the most comprehensive survey to date of the theory of semiparallel submanifolds. It begins with the necessary background material, detailing symmetric and semisymmetric Riemannian manifolds, smooth manifolds in space forms, and parallel submanifolds. The book then introduces semiparallel submanifolds and gives some characterizations for their class as well as several subclasses. The coverage moves on to discuss the concept of main symmetric orbit and presents all known results concerning umbilic-like main symmetric orbits. With more than 40 published papers under his belt on the subject, Lumiste provides readers with the most authoritative treatment.