Document Type

Article

Publication Date

10-2017

Subject: LCSH

Sasakian manifolds, String models, Geometry, Riemannian

Disciplines

Mathematics

Abstract

We show that a (2n + 1)-dimensional Sasakian manifold (M, g) with a purely transversal Bach tensor has constant scalar curvature ≥2n(2n+1), equality holding if and only if (M, g) is Einstein. For dimension 3, M is locally isometric to the unit sphere S3. For dimension 5, if in addition (M, g) is complete, then it has positive Ricci curvature and is compact with finite fundamental group π1(M).

Comments

(C) 2017 by the authors.

The following article appeared in Ghosh, Amalendu, and Ramesh Sharma. J. Math. Phys. 58, 103502 (2017). doi:10.1063/1.4986492(citation of published article) and may be found at http://dx.doi.org/10.1063/1.4986492 .

This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.

DOI

10.1063/1.4986492

Publisher Citation

Ghosh, Amalendu, and Ramesh Sharma. "Sasakian manifolds with purely transversal Bach tensor." Journal of Mathematical Physics 58, no. 10 (2017): 103502. doi:10.1063/1.4986492

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