The Spectral Geometry of the Riemann Curvature Operator in the Higher Signature Setting

Details The Spectral Geometry of the Riemann Curvature Operator in the Higher Signature Setting The Spectral Geometry of the Riemann Curvature Operator in the Higher Signature Setting

2003-12-12

arxiv.org/abs/math/0312249v1

Mathematics

Differential Geometry

Scientific paper

We study the spectral geometry of the Riemann curvature tensor for
Pseudo-Riemannian manifolds and provide some examples illustrating the
phenomena which can arise in the higher signature setting.
Dedication: This paper is dedicated to the memory of our colleague Prof.G.
Tsagas who studied the spectral geometry of Laplacian.

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