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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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The spectral theory of the Yano rough Laplacian with some of its applications
Sergey Stepanov,Josef Mikeš +1 more
TL;DR: In this article, the Sampson operator is shown to be the Yano rough Laplacian, which acts on the space of skew-symmetric covariant tensors on Riemannian manifolds.
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Application of Bochner formula to generalized Sasakian space forms
Mohammed Jamali,Mohammad Shahid +1 more
TL;DR: In this article, the generalized Sasakian space form becomes either isometric to a sphere or a warped product under some geometric condtions, and the Bochner formula is applied to prove that the generalization becomes isometric.
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Quasi-einstein contact metric manifolds
TL;DR: In this paper, the authors consider quasi-Einstein metrics in the framework of contact metric manifolds and prove rigidity results for (κ, μ)-spaces, and show that any complete K-contact manifold with quasi-einstein metric is compact Einstein and Sasakian.
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Yamabe Solitons on Three-Dimensional N(k)-Paracontact Metric Manifolds
Young Jin Suh,Krishanu Mandal +1 more
TL;DR: In this paper, it was shown that if a 3D N(k)-paracontact manifold admits a Yamabe soliton (g, V), then either the manifold is a space of constant curvature, or the flow vector field V is Killing.
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A generalization of K -contact and ( k, μ )-contact manifolds
Amalendu Ghosh,Ramesh Sharma +1 more
TL;DR: In this article, a generalization of K-contact and (k,μ)-contact manifolds is studied, and it is shown that if such manifolds of dimensions ≥ 5 are conformally flat, then they have constant curvature + 1.