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Riemannian Manifolds Of Conullity Two
ISBN-13:
9789814498555
Veröffentl:
1996
Einband:
PDF
Seiten:
320
Autor:
Boeckx Eric Boeckx
eBook Typ:
PDF
eBook Format:
PDF
Kopierschutz:
Adobe DRM [Hard-DRM]
Sprache:
Englisch
Beschreibung:
This book deals with Riemannian manifolds for which the nullity space of the curvature tensor has codimension two. These manifolds are "e;semi-symmetric spaces foliated by Euclidean leaves of codimension two"e; 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 "e;relative conullity two"e;. 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 "e;almost rigid"e;. The unifying method is solving explicitly particular systems of nonlinear PDE.
This book deals with Riemannian manifolds for which the nullity space of the curvature tensor has codimension two. These manifolds are "e;semi-symmetric spaces foliated by Euclidean leaves of codimension two"e; 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 "e;relative conullity two"e;. 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 "e;almost rigid"e;. The unifying method is solving explicitly particular systems of nonlinear PDE.