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

• Type: Article in International Scientific Journal
• Date: 2025

Authors

Medjahdi, B (Author) Other; Medjati, R (Author) Other; Zoubir, H (Author) Other; Belhenniche, A (Author) Other; Chertovskih, R (Author) FEUP

Journal

Title: Axioms

Vol. 13 No. 9

Final page: 568

Indexing

ISI Web of Knowledge - 0 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 25