1 citations · 1 across the 4 of their papers we have counts for
4 papers
Some remarks on critical sets of Laplace eigenfunctions
Chris Judge, Sugata Mondal
We study the set of critical points of a solution to and in particular components of the critical set that have codimension 1. We show, for example, that if a secon…
Critical points of Laplace eigenfunctions on polygons
Chris Judge, Sugata Mondal
We study the critical points of Laplace eigenfunctions on polygonal domains with a focus on the second Neumann eigenfunction. We show that if each convex quadrilaterals has no seco…
An arithmetic property of the set of angles between closed geodesics on hyperbolic surfaces of finite type
Sugata Mondal
For a hyperbolic surface S of finite type we consider the set A(S) of angles between closed geodesics on S. Our main result is that there are only finitely many rational multiples…
Rigidity of length-angle spectrum for closed hyperbolic surfaces
Sugata Mondal
The rigidity of marked length spectrum for closed hyperbolic surfaces due to Fricke-Klein [7] has been the motivation of many different rigidity results, specially for manifolds of…