Spectral geometry of $eta$-Einstein Sasakian manifolds

Details Spectral geometry of $eta$-Einstein Sasakian manifolds Spectral geometry of $eta$-Einstein Sasakian manifolds

2012-04-12

arxiv.org/abs/1204.2747v1

Mathematics

Differential Geometry

8 pages

Scientific paper

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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