Work

Obata theorem of $σ_k$-flat and constant associated $k$th boundary curvature equation

Year: 2026

Type: preprint

Abstract: On the upper hemisphere, we use the Obata-Escobar argument to establish an Obata theorem for $σ_k$-flat and positive constant boundary $\mathcal B_k$-curvature equation, which was initiated by Case-Wang [Adv. Math. 337 (2018), 83-106].

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.34835

Authors: Chen, Xuezhang, Wei, Wei

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7214746922

Cites: 2

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Related to: 10