Minimal translation graphs in semi-Euclidean space

<abstract><p>In this paper, homothetical and translation lightlike graphs, which are generalizations of homothetical and translation lightlike hypersurfaces are investigated in the semi-Euclidean space $ \mathbb{R}_{q}^{n+2} $, respectively. We prove that all homothetical and all translation lightlike graphs are locally the hyperplanes. According to this fact, both of these graphs are minimal.</p></abstract>

show abstract

Translation hypersurfaces of semi-Euclidean spaces with constant scalar curvature

Sağlam¹,

Sunar

2023

MATH

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Minimal translation graphs in semi-Euclidean space

Abstract: <abstract><p>In this paper we study a characterization of minimal translation graphs which are generalization of minimal translation hypersurfaces in semi-Euclidean space.</p></abstract>

Cited by 3 publications

References 8 publications

Correction: Minimal translation graphs in semi-Euclidean space

Correction: Minimal translation graphs in semi-Euclidean space

Minimal homothetical and translation lightlike graphs in $ \mathbb{R} _{q}^{n+2} $

Translation hypersurfaces of semi-Euclidean spaces with constant scalar curvature

Contact Info

Product

Resources

About