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 $k>0$. When equali…