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34 papers · 1 filter
Weak metric structures on generalized Riemannian manifolds
Vladimir Rovenski, Milan Zlatanović
In the paper, we first study more general models, where has constant rank and is based on weak metric structures (introduced by the first author and R. Wolak), which generalize…
On isometric immersions of almost -product manifolds
Vladimir Rovenski, Pawel Walczak
A Riemannian manifold endowed with complementary pairwise orthogonal distributions is called a Riemannian almost -product manifold. In the article, for the first time, w…
From graph to Riesz continuity
Marina Prokhorova
We show that every graph continuous family of unbounded operators in a Hilbert space becomes Riesz continuous after one-sided multiplication by an appropriate family of unitary ope…
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…
Integral formulas for a Riemannian manifold with several orthogonal complementary distributions
Vladimir Rovenski
In the paper we prove integral formulae for a Riemannian manifold endowed with orthogonal complementary distributions, which generalize well-known formula for and give…
The Einstein-Hilbert type action on metric-affine almost-product manifolds
Vladimir Rovenski, Tomasz Zawadzki
We continue our study of the mixed Einstein-Hilbert action as a functional of a pseudo-Riemannian metric and a linear connection. Its geometrical part is the total mixed scalar cur…