Author URLs
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).
DOI
10.1063/1.4986492
Repository Citation
Ghosh, Amalendu and Sharma, Ramesh, "Sasakian Manifolds with Purely Transversal Bach Tensor" (2017). Mathematics Faculty Publications. 11.
https://digitalcommons.newhaven.edu/mathematics-facpubs/11
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
Comments
(C) 2017 by the authors.
The following article appeared in Ghosh, Amalendu, and Ramesh Sharma. J. Math. Phys. 58, 103502 (2017) and may also 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.