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math.DG2026
Volume growth and parabolicity for non-symmetric operators
Leandro F. Pessoa, Stefano Pigola, Alberto G. Setti
The interplay between a weighted volume measure and its naturally associated weighted Laplace operator is fundamental to the geometric analysis of weighted structures governed by g…
math.DG2026
Conformal Geometry and Spectral Bounds on Manifolds with Boundary
Tiarlos Cruz, Leandro F. Pessoa, Erisvaldo Véras
This work investigates upper bounds for the spectrum of the Steklov-type operator on Riemannian manifolds with boundary. We extend the Fraser-Schoen estimate for the first positive…