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Riemannian Manifolds Of Conullity Two
Hardback

Riemannian Manifolds Of Conullity Two

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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. Szabo. 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.

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MORE INFO
Format
Hardback
Publisher
World Scientific Publishing Co Pte Ltd
Country
Singapore
Date
9 November 1996
Pages
320
ISBN
9789810227685

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. Szabo. 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.

Read More
Format
Hardback
Publisher
World Scientific Publishing Co Pte Ltd
Country
Singapore
Date
9 November 1996
Pages
320
ISBN
9789810227685