Spectral geometry of $eta$-Einstein Sasakian manifolds
Differential Geometry
2015-06-04 v1
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 -Einstein Sasakian manifold is spectrally determined. We also prove that the condition that a Sasakian space form has constant -sectional curvature is spectrally determined.
Keywords
Cite
@article{arxiv.1204.2747,
title = {Spectral geometry of $eta$-Einstein Sasakian manifolds},
author = {JeongHyeong Park},
journal= {arXiv preprint arXiv:1204.2747},
year = {2015}
}
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8 pages