Journal ArticleDOI
Integral formulas in riemannian geometry
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This article is published in Bulletin of The London Mathematical Society.The article was published on 1973-03-01. It has received 331 citations till now. The article focuses on the topics: Riemannian geometry & Fundamental theorem of Riemannian geometry.read more
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Notes on Harmonic Tensor Fields
TL;DR: In this paper, a correspondence is obtained between vector fields and one-forms defining harmonic sections of the tangent and the cotangent bundles, respectively, by the study of musical isomorphisms.
Some results on almost Kenmotsu manifolds
TL;DR: In this article, it was shown that for a -almost-Kenmotsu manifold with and, the tensor vanishes and every conformal vector field which leaves the curvature tensor invariant is Killing.
Book ChapterDOI
A Classification of Ricci Solitons as (k, μ)-Contact Metrics
Amalendu Ghosh,Ramesh Sharma +1 more
TL;DR: In this paper, a non-Sasakian (k, μ)-contact metric g is a Ricci soliton on a (2n + 1)-dimensional smooth manifold M, and (m, g) is locally a three-dimensional Gaussian soliton, or a gradient shrinking rigid Ricci Soliton on the trivial sphere bundle S n (4) × E n+1.
Conformal evolution of spacetime solutions of einstein's equations
Ranjan Sharma,D. Bainov +1 more
TL;DR: In this article, a conformal Killing vector (CKV) was used to evolve a spacially compact spacetime (M; g) evolved through a CKV such that the normal component of is constant on each spacelike slice and each has constant mean curvature; the stress energy tensor obeys the mixed energy condition.
Journal ArticleDOI
D-homothetically Deformed K-contact Ricci Almost Solitons
TL;DR: In this paper, the divergence of any vector field is invariant under a D-homothetically deformed K-contact Ricci almost soliton with the same associated vector field.