Work

Rigidity result for four dimensional Willmore submanifolds with boundary

Year: 2024

Type: article

Abstract: We establish a rigidity result for the critical points, with boundary, of a four dimensional Willmore energy. These critical points satisfy a 4-Willmore equation which is a sixth order nonlinear elliptic partial differential equation. We establish several curvature estimates and prove that four dimensional Willmore submanifold with totally geodesic boundary condition are umbilic.

Source: Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2024.129163

Author: Peter Olamide Olanipekun

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,100

OpenAlex ID: W4405317282

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Cites: 30

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Related to: 10