3 papers
math.DG2024
Special Weingarten surfaces with planar convex boundary
Barbara Nelli, Giuseppe Pipoli, Marcos Paulo Tassi
We prove a Ros-Rosenberg theorem in the setting of Special Weingarten surfaces. We show that a compact, connected, embedded, Special Weingarten surface in $\mathhb{R}^3$ with plana…
math.DG2021
A quasiconformal Hopf soap bubble theorem
Jose A. Galvez, Pablo Mira, Marcos P. Tassi
We show that any compact surface of genus zero in Euclidean 3-space that satisfies a quasiconformal inequality between its principal curvatures is a round sphere. This solves an ol…
math.DG2019
Complete surfaces of constant anisotropic mean curvature
Jose A. Galvez, Pablo Mira, Marcos P. Tassi
We study the geometry of complete immersed surfaces in with constant anisotropic mean curvature (CAMC). Assuming that the anisotropic functional is uniformly ellipti…