Parallel and semi-parallel hypersurfaces of $$ \mathbb{S}^n $$ × ℝ
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2008/09/01
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Indian UGC (journal)
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Refrences9
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Citations17
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Joeri Van der Veken
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Luc Vrancken
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Higher Order Parallel Surfaces in Bianchi–Cartan–Vranceanu Spaces | Results in Mathematics |
| 15 | 2008 |
| 10.1007/BF02776024 | Israel Journal of Mathematics |
| 1991 | |
| Local Rigidity Theorems for Minimal Hypersurfaces | Annals of Mathematics |
| 233 | 1969 |
| 10.4064/bc57-0-5 | 2002 | |||
| J. Deprez. Semi-parallel hypersurfaces. Rend. Sem. Mat. Univer. Politec. Torino, 44 (1986), 303–316. | 1986 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Parallel and totally umbilical hypersurfaces of the four‐dimensional Thurston geometry Sol04$\text{Sol}^4_0$ | Mathematische Nachrichten |
| 2024 | |
| Classification of semi-parallel hypersurfaces of the product of two spheres | Differential Geometry and its Applications |
| 2023 | |
| Integral inequalities for closed linear Weingarten submanifolds in the product spaces | Anais da Academia Brasileira de Ciências |
| 2023 | |
| Umbilical submanifolds of Hk×Sn−k+1 | Differential Geometry and its Applications |
| 2022 | |
Biharmonic hypersurfaces in a product space Lm×R | Mathematische Nachrichten |
| 1 | 2021 |
Citations Analysis
The category
Science: Mathematics 16
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled ON EXTRINSICALLY SYMMETRIC HYPERSURFACES OF ℍn×ℝ and was published in 2010. The most recent citation comes from a 2024 study titled Parallel and totally umbilical hypersurfaces of the four‐dimensional Thurston geometry Sol04$\text{Sol}^4_0$. This article reached its peak citation in 2019, with 3 citations. It has been cited in 13 different journals, 15% of which are open access. Among related journals, the Differential Geometry and its Applications cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.