Home /  Geometric Analysis: Essential spectrum of p-forms on complete Riemannian manifolds

Seminar

Geometric Analysis: Essential spectrum of p-forms on complete Riemannian manifolds March 03, 2016 (11:00 AM PST - 12:00 PM PST)
Parent Program:
Location: SLMath: Eisenbud Auditorium
Speaker(s) Zhiqin Lu (University of California, Irvine)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract/Media

If the Ricci curvature of a complete noncompact Riemannian manifold is asymptotically nonnegative, then the essential spectrum of the Laplacian on functions is the set of nonnegative real numbers.  When we consider the Laplacians on p-forms, much stronger assumption is needed. We prove that if the manifold is asymptotically flat, then the spectra of p-forms are connected sets of the real line. This is joint work with N. Charalambous.

No Notes/Supplements Uploaded No Video Files Uploaded