V. Chernov

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20012026

most citedNon-negative Legendrian isotopy in

S T^{*} M

52 citations · 216 across the 27 of their papers we have counts for

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math.DG2018★ 8 cited

Causality and Legendrian linking for higher dimensional spacetimes

Vladimir Chernov

Let $(X^{m + 1}, g)$ be an $(m + 1)$ -dimensional globally hyperbolic spacetime with Cauchy surface $M^{m}$ , and let $M^{m}$ be the universal cover of the Cauchy surface. Let $\m…

math.DG2017★ 4 cited

Conjectures on the Relations of Linking and Causality in Causally Simple Spacetimes

Vladimir Chernov

We formulate the generalization of the Legendrian Low conjecture of Natario and Tod (proved by Nemirovski and myself before) to the case of causally simple spacetimes. We prove a w…

math.DG2010★ 5 cited

Topological properties of manifolds admitting a $Y^{x}$ -Riemannian metric

Vladimir Chernov, Paul Kinlaw, Rustam Sadykov

A complete Riemannian manifold $(M, g)$ is a $Y_{l}^{x}$ -manifold if every unit speed geodesic $γ (t)$ originating at $γ (0) = x \in M$ satisfies $γ (l) = x$ for $0 \neq = l \in R$ . Bérard-Berger…

math.DG2007

Mapped Null Hypersurfaces and Legendrian Maps

Vladimir Chernov

For an $(m + 1)$ -dimensional space-time $(X^{m + 1}, g),$ define a mapped null hypersurface to be a smooth map $ν : N^{m} \to X^{m + 1}$ (that is not necessarily an immersion) such that the…

Causality and Legendrian linking for higher dimensional spacetimes

Conjectures on the Relations of Linking and Causality in Causally Simple Spacetimes

Topological properties of manifolds admitting a Yx-Riemannian metric

Mapped Null Hypersurfaces and Legendrian Maps

Topological properties of manifolds admitting a $Y^{x}$ -Riemannian metric