Right Conoids Demonstrating a Time-like Axis within Minkowski Four-Dimensional Space

Yanlin Li () and Erhan Güler
Additional contact information
Yanlin Li: School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China
Erhan Güler: Department of Mathematics, Faculty of Sciences, Bartın University, Kutlubey Campus, Bartın 74100, Türkiye

Mathematics, 2024, vol. 12, issue 15, 1-11

Abstract: In the four-dimensional Minkowski space, hypersurfaces classified as right conoids with a time-like axis are introduced and studied. The computation of matrices associated with the fundamental form, the Gauss map, and the shape operator specific to these hypersurfaces is included in our analysis. The intrinsic curvatures of these hypersurfaces are determined to provide a deeper understanding of their geometric properties. Additionally, the conditions required for these hypersurfaces to be minimal are established, and detailed calculations of the Laplace–Beltrami operator are performed. Illustrative examples are provided to enhance our comprehension of these concepts. Finally, the umbilical condition is examined to determine when these hypersurfaces become umbilic, and also the Willmore functional is explored.

Keywords: Minkowski four-dimensional space; right conoid; hypersurface; time-like axis; Gauss map (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/15/2421/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/15/2421/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:15:p:2421-:d:1449576

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().