Constant Mean Curvature Surfaces Along a Spacelike Curve

Ergin Bayram

doi:10.17776/csj.1063743

EN

Constant Mean Curvature Surfaces Along a Spacelike Curve

Abstract

We construct constant mean curvature surfaces along a given spacelike curve in 3 dimensional Minkowski space. We parametrically present these surfaces using the famous Frenet frame of the curve in question. We give the sufficient conditions for the so called marching scale functions, which are the coefficients of the Frenet frame fields. We show that it is possible to obtain such surfaces for any given spacelike curve. Finally, the validity of the presented method is supported with illustrative examples.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ergin Bayram ^*
0000-0003-2633-0991
Türkiye

Publication Date

September 30, 2022

Submission Date

January 27, 2022

Acceptance Date

August 1, 2022

Published in Issue

Year 2022 Volume: 43 Number: 3

DOI

https://doi.org/10.17776/csj.1063743

IZ

https://izlik.org/JA34FN86WF

Cite

RIS / Bibtex

APA

Bayram, E. (2022). Constant Mean Curvature Surfaces Along a Spacelike Curve. Cumhuriyet Science Journal, 43(3), 454-459. https://doi.org/10.17776/csj.1063743

Cited By

Surface family interpolating a common spherical indicatrix curve

Filomat

https://doi.org/10.2298/FIL2403821G

Developable Ruled Surfaces with Constant Mean Curvature Along a Curve

Mathematics

https://doi.org/10.3390/math14020234

Constant Mean Curvature Surfaces Along a Spacelike Curve

Abstract

Keywords

Öz

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

Surface family interpolating a common spherical indicatrix curve

Developable Ruled Surfaces with Constant Mean Curvature Along a Curve