Spectral geometry of $eta$-Einstein Sasakian manifolds

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 $\varphi$-sectional curvature $c$ is spectrally determined.

8 pages

References in corpus (1)

• Energy properness and Sasakian-Einstein metrics

Cited by in corpus (1)

• Universal curvature identities II