Published January 1, 2025 | Version v1
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BICONSERVATIVE PNMCV SURFACES IN THE ARBITRARY DIMENSIONAL MINKOWSKI SPACE

  • 1. Istanbul Tech Univ, Fac Sci & Letters, Dept Math, TR-34469 Istanbul, Turkiye
  • 2. Istanbul Medeniyet Univ, Fac Engn & Nat Sci, Dept Math, TR-34700 Istanbul, Turkiye

Description

In this article, we study biconservative surfaces with parallel normalized mean curvature vector field in the arbitrary dimensional Minkowski space E m 1 , where m >= 4. Firstly, we obtain some geometric properties of these surfaces. In particular, we prove that if M is a PNMCV biconservative surface in E m 1 , then it must be contained in a 4-dimensional non-degenerated totally geodesic of E m 1 and all its shape operators are diagonalizable. Then, we give local classification theorems for biconservative PNMCV space-like and time-like surfaces in E 4 1 .

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