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arXiv · 1204.2747

Spectral geometry of $eta$-Einstein Sasakian manifolds

JeongHyeong Park
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Abstract

We extend a result of Patodi for closed Riemannian manifolds to the context of closed contact manifolds by showing the condition that a manifold is an $\eta$-Einstein Sasakian manifold is spectrally determined. We also prove that the condition that a Sasakian space form has constant $\phi$-sectional curvature $c$ is spectrally determined.

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JeongHyeong Park. 2012-04-12. Spectral geometry of $eta$-Einstein Sasakian manifolds. https://doi.org/10.1016/j.geomphys.2012.06.007

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