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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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Conformal classification of (k, μ)-contact manifolds
Ramesh Sharma,Luc Vrancken +1 more
TL;DR: In this paper, the authors improved Tanno's result that a conformal vector field on a contact metric manifold M is a strictly infinitesimal contact transformation, and thus it is an automorphism of M by waiving the "strictness" in the hypothesis.
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On Ricci–Yamabe soliton and geometrical structure in a perfect fluid spacetime
Jay Prakash Singh,Mohan Khatri +1 more
TL;DR: In this paper, the geometrical aspects of a perfect fluid spacetime with torse-forming vector field and Ricci-Yamabe soliton were studied under certain curvature restrictions.
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Harmonic and Projective Diffeomorphisms
TL;DR: In this paper, the results of the local and global geometries of harmonic and projective diffeomorphisms of Riemannian manifolds have been studied and compared.
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On Riemannian foliations admitting transversal conformal fields
Woo Cheol Kim,Seoung Dal Jung +1 more
TL;DR: In this article, a closed, connected Riemannian manifold with a foliation of nonzero constant transversal scalar curvature is shown to be transversally isometric to the sphere.
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On Almost-Global Tracking for a Certain Class of Simple Mechanical Systems
Aradhana Nayak,Ravi N. Banavar +1 more
TL;DR: In this paper, a control law for the almost-global asymptotic tracking (AGAT) of a smooth reference trajectory for a fully actuated simple mechanical system evolving on a Riemannian manifold that can be embedded in a Euclidean space is proposed.