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math.DG2016
On the analytic systole of Riemannian surfaces of finite type
Werner Ballmann, Henrik Matthiesen, Sugata Mondal
In our previous work we introduced, for a Riemannian surface , the quantity , where denotes the first Dirichlet eigenvalue of and the infimum i…
math.DG2016★ 1 cited
Geodesics and nodal sets of Laplace eigenfunctions on hyperbolic manifolds
Chris Judge, Sugata Mondal
Let X be a manifold equipped with a complete Riemannian metric of constant negative curvature and finite volume. We demonstrate the finiteness of the collection of totally geodesic…