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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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Eigenvalues of the Tachibana operator which acts on differential forms
Sergey Stepanov,Josef Mikeš +1 more
TL;DR: In this article, the spectral properties of a natural Riemannian second-order differential operator acting on differential forms were studied and shown to have spectral properties similar to those of the one in this paper.
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On the H-almost ricci soliton
TL;DR: In this article, the authors introduced the concept of the $h$-almost Ricci soliton, which extends naturally the ¾-Ricci solitons by Pigola-Rigoli-Rimoldi-Setti and showed that it is isometric to a standard sphere.
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D-Homothetically Deformed Kenmotsu Metric as a Ricci Soliton
TL;DR: In this paper, the Ricci solitons in D-homo-thetically deformed Kenmotsu manifolds were studied and it was shown that η -Einstein Ricci metric remains η-Einstein under D-homothetic deformation and the scalar curvature remains constant.
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Contact Hypersurfaces of a Bochner–Kaehler Manifold
Amalendu Ghosh,Ramesh Sharma +1 more
TL;DR: In this paper, the authors studied contact metric hypersurfaces of a Bochner-Kaehler manifold and obtained the following two results: (1) a contact metric constant mean curvature (CMC) hypersurface of a BK manifold is a (k, μ)-contact manifold, and (2) if M is a compact contact metric CMC hypersusurface with a conformal vector field V that is neither tangential nor normal anywhere, then it is totally umbilical and Sasakian, and under certain conditions on V, is isometric to
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A Study of Conformally Flat Quasi-Einstein Spacetimes with Applications in General Relativity
Venkatesha,Aruna Kumara +1 more
TL;DR: In this article, the Ricci soliton structure in a conformally flat (QE)4 perfect Euclidean space has been investigated and several important results have been obtained.