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COMPLETE K-CURVATURE HOMOGENEOUS PSEUDO-RIEMANNIAN MANIFOLDS 0-MODELED ON AN INDECOMPOSIBLE SYMMETRIC SPACE

Name: COMPLETE K-CURVATURE HOMOGENEOUS PSEUDO-RIEMANNIAN MANIFOLDS 0-MODELED ON AN INDECOMPOSIBLE SYMMETRIC SPACE
Keywords: Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 53B20

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jul 2005Embargo end date: 01 Jan 2005Publisher:World Scientific Pub Co Pte LtdJournal:Topics in Almost Hermitian Geometry and Related Fields

Authors: Stana Nikcevic; Peter B. Gilkey;

doi: 10.1142/9789812701701_0007 , 10.48550/arxiv.math/0504050

arXiv: http://arxiv.org/abs/math/0504050

COMPLETE K-CURVATURE HOMOGENEOUS PSEUDO-RIEMANNIAN MANIFOLDS 0-MODELED ON AN INDECOMPOSIBLE SYMMETRIC SPACE

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Abstract

For k at least 2, we exhibit complete k-curvature homogeneous neutral signature pseudo-Riemannian manifolds which are not locally affine homogeneous (and hence not locally homogeneous). The curvature tensor of these manifolds is modeled on that of an indecomposible symmetric space. All the local scalar Weyl curvature invariants of these manifolds vanish.

Related Organizations

University of Oregon
United States

Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 53B20

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COMPLETE K-CURVATURE HOMOGENEOUS PSEUDO-RIEMANNIAN MANIFOLDS 0-MODELED ON AN INDECOMPOSIBLE SYMMETRIC SPACE

COMPLETE K-CURVATURE HOMOGENEOUS PSEUDO-RIEMANNIAN MANIFOLDS 0-MODELED ON AN INDECOMPOSIBLE SYMMETRIC SPACE

2 Research products, page 1 of 1

Invariant 2D object recognition using KRA and GRA

Complete curvature homogeneous pseudo-Riemannian manifolds