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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

0 votes

Examples on small cut radius of totally convex set in non-negatively curved manifold

let M be the infinite cylinder ${(x,y,z) | x^2+y^2=1 }$, choose as $C$ a small geodesic disc around some point $p$ and $q$ the point on the opposite site of the circle with the same z coordinate. Then …
Ralf Rueckriemen's user avatar
3 votes

upper bound on first non-zero eigenvalue of the Laplacian

Did you look in Isaac Chavel's book 'Eigenvalues in Riemannian geometry'? It contains various bounds for eigenvalues although at a quick glance I didn't see anything for your particular setting.
Ralf Rueckriemen's user avatar