Biconservative quasi-minimal immersions into semi-Euclidean spaces
| Autor: | Şen, Rüya Yeğin, Kelleci, Alev, Turgay, Nurettin Cenk, Canfes, Elif Özkara |
|---|---|
| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper we study biconservative immersions into the semi-Riemannian space form $R^4_2(c)$ of dimension 4, index 2 and constant curvature, where $c\in\{0,-1,1\}$. First, we obtain a characterization of quasi-minimal proper biconservative immersions into $R^4_2(c)$. Then we obtain the complete classification of quasi-minimal biconservative surfaces in $R^4_2(0)=\mathbb E^4_2$. We also obtain a new class of biharmonic quasi-minimal isometric immersion into $\mathbb E^4_2$. Comment: This work was obtained during the ITU-GAP project \emph{ARI2Harmoni} (Project Number: TGA-2017-40722) |
| Databáze: | arXiv |
| Externí odkaz: |
|