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

C. Dunn·P. Gilkey·R. Ivanova·S. Nikcevic
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Abstract

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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C. Dunn, P. Gilkey, R. Ivanova, S. Nikcevic. 2003-12-12. The Spectral Geometry of the Riemann Curvature Operator in the Higher Signature Setting. https://arxiv.org/abs/math/0312249

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