ON QUASI-MINIMAL ISOMETRIC IMMERSIONS INTO NON-FLAT SEMI RIEMANNIAN SPACE FORMS OF INDEX TWO

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Turgay N. C. , Kelleci A., Sen R. , Canfes E. O.

20th International Conference on Geometry, Integrability and Quantization, Varna, Bulgaria, 2 - 07 June 2018, pp.255-265 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume:
  • Doi Number: 10.7546/giq-20-2019-255-265
  • City: Varna
  • Country: Bulgaria
  • Page Numbers: pp.255-265

Abstract

In this paper, first we gave a summary of recent results on biconservative immersions. Then, we obtained a necessary and sufficient condition for the existence of biconservative quasi-minimal immersions into a four dimensional semi-Riemannian space form of index two with non-zero sectional curvatures. We also constructed an explicit example of biconservative quasi-minimal surface.