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math.DG2025
Convexity on manifolds without focal points and applications
Aprameyan Parthasarathy, B Sivashankar
In this article, we study strictly convex functions on Riemannian manifolds without focal points, a broad class of manifolds encompassing all Hadamard manifolds as well as a large…
math.DG2011
Integral operators on the Oshima compactification of a Riemannian symmetric space of non-compact type. Regularized traces and characters
Aprameyan Parthasarathy, Pablo Ramacher
Consider a Riemannian symmetric space of non-compact type, where denotes a connected, real, semi-simple Lie group with finite center, and a maximal compact subgrou…
math.DG2011
Integral operators on the Oshima compactification of a Riemannian symmetric space of non-compact type. Microlocal analysis and kernel asymptotics
Aprameyan Parthasarathy, Pablo Ramacher
Let $\X\simeq G/K$ be a Riemannian symmetric space of non-compact type, $\widetilde \X$ its Oshima compactification, and $(π,\mathrm{C}(\widetilde \X))$ the regular representation…