Journal of Advances in Mathematics and Computer Science

Eta-Einstein S-Manifolds and Spectral Geometry

Najma Abdul Rehman *

Department of Mathematics, COMSATS Institute of Information Technology Sahiwal, Pakistan.

*Author to whom correspondence should be addressed.

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Abstract

We examine the spectral geometry of η-Einstein S-manifolds and compute the the spectral coefficients for S-space form and obtain the results analogue to Patodi’s results for Riemannian manifolds and J. Park results for η−Einstein Sasakian manifolds. We show that how an η−Einstein S-manifold and S-space forms are spectrally determined.

Keywords: S-Manifolds, η- Einstein manifolds, spectral geoemtry, laplace operator.

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