Work

$$O(n)\times O(m)$$-invariant hypersurfaces with constant mean curvature in Euclidean space

Year: 2025

Type: article

Abstract: We prove some estimates for the infimum and supremum of the squared norm of the second fundamental form of $$O(n)\times O(m)$$ O ( n ) × O ( m ) -invariant hypersurfaces in $$\mathbb {R}^{n+m}$$ R n + m with constant mean curvature $$H>0$$ H > 0 .

Source: Rendiconti del Circolo Matematico di Palermo Series 2

DOI: 10.1007/s12215-025-01302-9

Authors: Eduardo Rodríguez-Romero, Josué Meléndez

Institution: Universidad Autónoma Metropolitana

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Consejo Nacional de Ciencia y Tecnología, Universidad Autónoma Metropolitana unidad Iztapalapa