Biconservative quasi-minimal immersions into semi-Euclidean spaces

Rüya Yeğin Şen; Alev Kelleci; Nurettin Cenk Turgay; Elif Özkara Canfes

Biconservative quasi-minimal immersions into semi-Euclidean spaces

General Mathematics 2019-06-13 v1

Authors: Rüya Yeğin Şen , Alev Kelleci , Nurettin Cenk Turgay , Elif Özkara Canfes

Abstract

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 $\mathbb E^4_2$ .

Keywords

biconservative immersions quasi-minimal semi-euclidean space biharmonic immersions classification

Cite

@article{arxiv.1906.04922,
  title  = {Biconservative quasi-minimal immersions into semi-Euclidean spaces},
  author = {Rüya Yeğin Şen and Alev Kelleci and Nurettin Cenk Turgay and Elif Özkara Canfes},
  journal= {arXiv preprint arXiv:1906.04922},
  year   = {2019}
}

Comments

This work was obtained during the ITU-GAP project \emph{ARI2Harmoni} (Project Number: TGA-2017-40722)

Biconservative quasi-minimal immersions into semi-Euclidean spaces

Abstract

Keywords

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