Hypersurfaces of revolution family supplying $ \Delta \mathfrak{r} = \mathcal{A}\mathfrak{r} $ in pseudo-Euclidean space $ \mathbb{E}_{3}^{7} $

Hypersurfaces of revolution family supplying $ \Delta \mathfrak{r} = \mathcal{A}\mathfrak{r} $ in pseudo-Euclidean space $ \mathbb{E}_{3}^{7} $

In this study, we introduce a family of hypersurfaces of revolution characterized by six parameters in the seven-dimensional pseudo-Euclidean space $ {\mathbb{E}}_{3}^{7} $. These hypersurfaces exhibit intriguing geometric properties, and our aim is to analyze them in detail. To begin, we calculate...

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Bibliographic Details
Main Authors: Yanlin Li, Erhan Güler
Format: Article
Language:English
Published: AIMS Press 2023-08-01
Series:AIMS Mathematics
Subjects:
pseudo-euclidean 7-space
hypersurfaces of revolution family
gauss map
curvature
shape operator
laplace-beltrami operator
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231273?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20231273?viewType=HTML

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