3 papers
An Intrinsic Sobolev Trace Theory for Riemannian Vector Bundles with Applications to Quasilinear Elliptic Equations
Carlos Daniel Velázquez-Mendoza, María de los Ángeles Sandoval-Romero, Romulo Diaz Carlos
Let \(\mathbf{E}\to M\) be a finite-rank Riemannian vector bundle over a compact Riemannian manifold with nonempty smooth boundary, equipped with a compatible connection. We develo…
Global Analysis: An Introduction to Nonlinear Analysis and Its Variational Methods on Riemannian Manifolds
Carlos Daniel Velázquez-Mendoza, María de los Ángeles Sandoval-Romero, Romulo Diaz Carlos
This monograph develops an introduction to global analysis centered on the interaction between differential geometry, functional analysis, partial differential equations, and varia…
Small Perturbations and Infinitesimal Deformations on Surfaces of Revolution
Ricardo Berlanga, Maria de los Angeles Sandoval-Romero
Any given surface of revolution embedded in Euclidean three-space can always be perturbed by arbitrarily small ambient isotopies as to admit highly nontrivial vector fields inducin…