Riemannian Manifolds Of Conullity Two
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A01=Eric Boeckx
A01=Lieven Vanhecke
A01=Oldrich Kowalski
Asymptotic Foliation
Author_Eric Boeckx
Author_Lieven Vanhecke
Author_Oldrich Kowalski
Category=PBMP
Curvature Homogeneous Space
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Gromov Conjecture
Hypersurface with Type Number Two
Lichnerowicz Formula
Nomizu Conjecture
Pseudo-Symmetric Space
Riemannian Manifold
Semi-Symmetric Space
Singer Number
Product details
- ISBN 9789810227685
- Publication Date: 09 Nov 1996
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
