3 papers
math.DG2026
Eventual Morse Minimality of Heat Flow on Lens Spaces
Carlos A. Cadavid, Dairo J. Hernández, Juan Diego Vélez
We prove that heat flow generically produces Morse-minimal functions on round lens spaces. The result gives a rigorous explanation of a phenomenon first suggested by computational…
math.DG2026
Spectral Selection and Minimal Morse Structures on the Poincaré Dodecahedral Space
Carlos A. Cadavid, Juan D. Velez, Sergio Lenis
We study the long time behavior of the heat equation on the spherical Poincare dodecahedral space and introduce a spectral selection property P, asserting that for a dense open set…
math.CO2026
Inverse-Limit Formulas and Stable-Range Rigidity for Cyclotomic Sums
Juan D. Velez, Carlos Cadavid
We study truncation compatible families F = (F_m)_{m>=1} over Q[z] through an inverse limit formalism, and we evaluate them at the punctured cyclotomic cosine points alpha_{k,n} =…