A congruence theorem for compact embedded hypersurfaces in $\mathbb{S}^{n+1}_+$
- Resource Type
- Working Paper
- Authors
- Freitas, Allan; Guimarães, Felippe
- Source
- Subject
- Mathematics - Differential Geometry
53A07, 53C42
- Language
We prove a codimension reduction and congruence theorem for compact $n$-dimensional submanifolds of $\mathbb{S}^{n+p}$ that admit a mean convex isometric embedding into $\mathbb{S}^{n+1}_+$ using a Reilly type formula for space forms.
Comment: Comments are welcome!