34 citations · 85 across the 15 of their papers we have counts for
19 papers
On the essential spectra of submanifolds in the hyperbolic space
Gerasim Kokarev
We study relationships between asymptotic geometry of submanifolds in the hyperbolic space and their regularity properties near the ideal boundary, revisiting some of the related r…
Remarks on the spectra of minimal hypersurfaces in the hyperbolic space
Gerasim Kokarev
We compute the Laplacian spectra of singular area-minimising hypersurfaces in the hyperbolic space with prescribed asymptotic data. We also obtain similar results in higher codimen…
On Calderon's problem for the connection Laplacian
Ravil Gabdurakhmanov, Gerasim Kokarev
We consider Calderon's problem for the connection Laplacian on a real-analytic vector bundle over a manifold with boundary. We prove a uniqueness result for this problem when all g…
Berger inequality for Riemannian manifolds with an upper sectional curvature bound
Gerasim Kokarev
We obtain inequalities for all Laplace eigenvalues of Riemannian manifolds with an upper sectional curvature bound, whose rudiment version for the first Laplace eigenvalue was disc…
Bounds for Laplace eigenvalues of Kaehler metrics
Gerasim Kokarev
We prove inequalities for Laplace eigenvalues of Kaehler manifolds generalising to higher eigenvalues the classical inequality for the first Laplace eigenvalue due to Bourguignon,…
Conformal volume and eigenvalue problems
Gerasim Kokarev
We prove inequalities for Laplace eigenvalues on Riemannian manifolds generalising to higher eigenvalues two classical inequalities for the first Laplace eigenvalue - the inequalit…