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

C. Dunn; P. Gilkey; R. Ivanova; S. Nikcevic

arxiv: math/0312249 · v1 · submitted 2003-12-12 · 🧮 math.DG

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

C. Dunn , P. Gilkey , R. Ivanova , S. Nikcevic This is my paper

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keywords geometryspectralcurvaturehigherriemannsettingsignaturearise

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

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