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The Weyl Curvature Tensor of Hypersurfaces Under the Mean Curvature Flow
| Content Provider | Scilit |
|---|---|
| Author | Moazzaf, Ghodrat Abedi, Esmaiel |
| Copyright Year | 2020 |
| Description | In this paper, we study the evolution of the Weyl curvature tensor W of hypersurfaces in 𝕉$ ^{n} ^{+1}$ under the mean curvature flow. We find a bound for the Weyl curvature tensor of hypersurfaces during the evolution in terms of time. As a consequence, we suppose that the initial hypersurface is conformally flat, i.e., W =0 at t = 0 and then we find an upper estimate for W during the evolution in terms of time. |
| Related Links | https://content.sciendo.com/downloadpdf/journals/tmmp/76/1/article-p143.pdf |
| e-ISSN | 12103195 |
| DOI | 10.2478/tmmp-2020-0023 |
| Journal | Tatra Mountains Mathematical Publications |
| Issue Number | 1 |
| Volume Number | 76 |
| Language | English |
| Publisher | Walter de Gruyter GmbH |
| Publisher Date | 2020-12-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Tatra Mountains Mathematical Publications Tatra Mountains Mathematical Publications Mathematical Physics |
| Content Type | Text |
| Resource Type | Article |