I. Tsyganok

activity

20102026

most citedA remark on the Laplacian operator which acts on symmetric tensors

4 citations · 12 across the 24 of their papers we have counts for

collaborators

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2 papers · 1 filter

math.DG2024

On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds

Josef Mikes, Sergey Stepanov, Irina Tsyganok

This paper establishes the conditions under which minimal and stable minimal hypersurfaces are characterized as hyperplanes in Euclidean spaces and as totally geodesic submanifolds…

math.DG2024

$L^{2}$ -decomposition of the second fundamental form of a hypersurface in the study of the general relativistic vacuum constraint equations

Sergey E. Stepanov, Irina I. Tsyganok

In present article, we consider a $L^{2}$ -orthogonal decomposition of the second fundamental form of a closed spacelike hypersurface in a Lorentzian spacetime and its applications to…

On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds

L2-decomposition of the second fundamental form of a hypersurface in the study of the general relativistic vacuum constraint equations

$L^{2}$ -decomposition of the second fundamental form of a hypersurface in the study of the general relativistic vacuum constraint equations