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Riemannian Manifolds Of Conullity Two

Oldrich Kowalski author Eric Boeckx author Lieven Vanhecke author

Format:Hardback

Publisher:World Scientific Publishing Co Pte Ltd

Published:9th Nov '96

Currently unavailable, and unfortunately no date known when it will be back

Riemannian Manifolds Of Conullity Two cover

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.

ISBN: 9789810227685

Dimensions: unknown

Weight: unknown

320 pages