Special Weingarten surfaces with planar convex boundary

Fuente: arXiv
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Auteurs principaux: Nelli, Barbara, Pipoli, Giuseppe, Tassi, Marcos Paulo
Format: Preprint
Publié: 2024
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author Nelli, Barbara
Pipoli, Giuseppe
Tassi, Marcos Paulo
author_facet Nelli, Barbara
Pipoli, Giuseppe
Tassi, Marcos Paulo
contents 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 planar convex boundary is a topological disk under mild suitable assumptions.
format Preprint
id arxiv_https___arxiv_org_abs_2406_16511
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Special Weingarten surfaces with planar convex boundary
Nelli, Barbara
Pipoli, Giuseppe
Tassi, Marcos Paulo
Differential Geometry
53A10, 53C42
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 planar convex boundary is a topological disk under mild suitable assumptions.
title Special Weingarten surfaces with planar convex boundary
topic Differential Geometry
53A10, 53C42
url https://arxiv.org/abs/2406.16511