On Factorable Surfaces of Finite Chen Type in the Lorentz-Heisenberg Space H3

• Tipo: Artigo em Revista Científica Internacional
• Data: 2025

Autores

Medjahdi, B (Autor) Outra; Medjati, R (Autor) Outra; Zoubir, H (Autor) Outra; Belhenniche, A (Autor) Outra; Chertovskih, R (Autor) FEUP

Revista

Título: Axioms

Vol. 13 Nº 9

Página Final: 568

Indexação

ISI Web of Knowledge - 0 Citações

Outras Informações

ID Authenticus: P-019-MH6

DOI: 10.3390/axioms14080568

Abstract (EN): This paper is about a problem at the intersection of differential geometry, spectral analysis and the theory of manifolds. The study of finite-type subvarieties was initiated by Chen in the 1970s, with the aim of obtaining improved estimates for the mean total curvature of compact subvarieties in Euclidean space. The concept of a finite-type subvariety naturally extends that of a minimal subvariety or surface, the latter being closely related to variational calculus. In this work, we classify factorable surfaces in the Lorentz-Heisenberg space H3, equipped with a flat metric satisfying Delta Iri=lambda iri, which satisfies algebraic equations involving coordinate functions and the Laplacian operator with respect to the surface's first fundamental form.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 25