Work

Euclidean hypersurfaces with semi-parallel Moebius second fundamental form

Year: 2025

Type: preprint

Abstract: In this paper, we classify umbilic-free hypersurfaces $f: M^{n}\to\mathbb{R}^{n+1}$, $n \geq 4,$ with semi-parallel Moebius second fundamental form and three distinct principal curvatures.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2510.25937

Authors: Antas, M. S. R., Manfio, F.

Institution: Universidade de São Paulo

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Fundação de Amparo à Pesquisa do Estado de São Paulo, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Awards: G2823776494, Modern methods in differential geometry and geometric analysis, G6191138830

OpenAlex ID: W7103182373

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