Timelike general rotational surfaces in Minkowski 4-space with density
In this study, we give weighted mean and weighted Gaussian curvatures of two types of timelike general rotational surfaces with non-null plane meridian curves in four-dimensional Minkowski space $\mathbb{E}_{1}^{4}$ with density $e^{\lambda_{1}x^{2}+\lambda_{2}y^{2}+\lambda_{3}z^{2}+\lambda_{4}t^{2}...
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Veröffentlicht in: | Journal of the Korean Mathematical Society 2024, 61(6), , pp.1051-1071 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In this study, we give weighted mean and weighted Gaussian curvatures of two types of timelike general rotational surfaces with non-null plane meridian curves in four-dimensional Minkowski space $\mathbb{E}_{1}^{4}$ with density $e^{\lambda_{1}x^{2}+\lambda_{2}y^{2}+\lambda_{3}z^{2}+\lambda_{4}t^{2}},$ where $\lambda_{i}$ ($i=1,2,3,4$) are not all zero. We give some results about weighted minimal and weighted flat timelike general rotational surfaces in $\mathbb{E}_{1}^{4}$ with density. Also, we construct some examples for these surfaces. KCI Citation Count: 0 |
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ISSN: | 0304-9914 2234-3008 |
DOI: | 10.4134/JKMS.j230260 |