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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Sasakian Metric as
Ankita Rai,Dhruwa Narain +1 more
TL;DR: In this article, the authors study Sasakian manifold whose metric is as Yamabe soliton and obtain some properties of this manifold, which is known as the Yamabe manifold.
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Harmonic conformal flows on manifolds of constant curvature
TL;DR: In this article, the energy of conformal flows on Riemannian manifolds was studied and it was shown that conformal flow on manifolds of constant curvature are critical if and only if they are isometric.
Dedicated to Professor J. L. Barbosa on the occasion of his 70th birthday
TL;DR: In this paper, it was shown that a gradient almost Ricci soliton M n,g,∇f, λ whose Ricci tensor is Codazzi has constant scalar curvature R provided a suitable function achieves a maximum in M n.
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$N(k)$-contact metric as $\ast$-conformal Ricci soliton
Dibakar Dey,Pradip Majhi +1 more
TL;DR: In this article, the authors characterized a class of contact metric manifolds admitting a conformal Ricci soliton and showed that these manifolds are locally isometric to the Riemannian of a flat manifold of constant curvature.