Spectrum of compact manifolds with high genus
Abstract
In this paper we study the behavior of the spectrum of a compact, connected Riemannian manifold (M,g) of dimension d 2, when we add an increasing number of increasingly small handles. No assumptions on any of the curvatures are needed.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.