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20182021
most citedIntegral formulas for a Riemannian manifold with several orthogonal complementary distributions

4 citations · 6 across the 9 of their papers we have counts for

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math.DG2021

A series of integral formulas for a foliated sub-Riemannian manifold

Vladimir Rovenski

In this article, we prove a series of integral formulae for a codimension-one foliated sub-Riemannian manifold, i.e., a Riemannian manifold equipped with a distribution ${\…

math.DG2020

On non-gradient -quasi-Einstein contact metric manifolds

Dhriti Sundar Patra, Vladimir Rovenski

Many authors have studied Ricci solitons and their analogs within the framework of (almost) contact geometry. In this article, we thoroughly study the -quasi-Einstein struct…

math.DG2020

On the mixed scalar curvature of almost multi-product manifolds

Vladimir Rovenski

A pseudo-Riemannian manifold endowed with orthogonal complementary distributions (called a Riemannian almost multi-product structure) appears in such topics as multiply warpe…

math.DG2020

The Einstein-Hilbert type action on almost -product manifolds

Vladimir Rovenski

A Riemannian manifold endowed with orthogonal complementary distributions (called here a Riemannian almost -product structure) appears in such topics as multiply warped pr…

math.DG2020

On the Bochner technique for singular distributions

Paul Popescu, Vladimir Rovenski, Sergey Stepanov

In this paper we continue our recent study of a manifold endowed with a singular or regular distribution, determined as the image of the tangent bundle under a smooth endomorphism,…

math.DG2020

Almost -Ricci solitons on Kenmotsu manifolds

Dhriti Sundar Patra, Vladimir Rovenski

In this paper we characterize the Einstein metrics in such broader classes of metrics as almost -Ricci solitons and -Ricci solitons on Kenmotsu manifolds, and generalize some…