Jesús A. Álvarez López

collaborators

3 papers

math.DG2025

The basic component of the mean curvature of Riemannian foliations

JesÃºs A. Ãlvarez LÃ³pez

For a Riemannian foliation $F$ on a compact manifold $M$ with a bundle-like metric, the de Rham complex of $M$ is $C^{\infty}$ -splitted as the direct sum of the basic complex and i…

dg-ga2025

Long time behavior of leafwise heat flow for Riemannian foliations

Jesus A. Alvarez Lopez, Yuri A. Kordyukov

For any Riemannian foliation F on a closed manifold M with an arbitrary bundle-like metric, leafwise heat flow of differential forms is proved to preserve smoothness on M at infini…

math.DG2024

Zeta invariants of Morse forms

JesÃºs A. Ãlvarez LÃ³pez, Yuri A. Kordyukov, Eric Leichtnam

Let $I^\cdot$ be a closed real 1-form on a closed Riemannian $n$ -manifold $(M, g)$ . Let $d_{z}$ , $I^´_{z}$ and $I^_{z}$ be the induced Witten's type perturbations of the de~Rham derivative and…