16 citations · 44 across the 9 of their papers we have counts for
9 papers
A Lichnerowicz estimate for the first eigenvalue of convex domains in Kähler manifolds
Boris Kolev, Vincent Guedj, Nader Yeganefar
In this article, we prove a Lichnerowicz estimate for a compact convex domain of a Kähler manifold whose Ricci curvature satisfies $\Ric \ge k$ for some constant . When equali…
Kähler-Einstein fillings
Vincent Guedj, Boris Kolev, Nader Yeganefar
We show that on an open bounded smooth strongly pseudoconvex subset of $\CC^{n}$, there exists a Kähler-Einstein metric with positive Einstein constant, such that the metric restri…
Resolvent expansions on hybrid manifolds
Konstantin Pankrashkin, Svetlana Roganova, Nader Yeganefar
We study Laplace-type operators on hybrid manifolds, i.e. on configurations consisting of closed two-dimensional manifolds and one-dimensional segments. Such an operator can be con…
Topological finiteness for asymptotically nonnegatively curved manifolds
Nader Yeganefar
We prove that a class of asymptotically nonnegatively curved manifolds (in the sense of Abresch) satisfying some uniform Euclidean type volume growth conditions contains only finit…
On manifolds with quadratic curvature decay
Nader Yeganefar
We give conditions which imply that a complete noncompact manifold with quadratic curvature decay has finite topological type. In particular, we find links between the topology of…
On the fundamental group of some open manifolds
Nader Yeganefar
We study fundamental groups of non compact Riemannian manifolds. We find conditions which ensure that the fundamental group is trivial, finite or finitely generated.