• Title of article

    Biconservative Submanifolds with Parallel Normalized Mean Curvature Vector Field in Euclidean Spaces

  • Author/Authors

    Şen ، Rüya Yeğin Department of Mathematics - Manipal Academy of HigherEducation - Manipal institute of Technology

  • From page
    3185
  • To page
    3194
  • Abstract
    A submanifold in the Euclidean space is said to have parallel normalized mean curvature vector field if the unit vector field in the direction of the mean curvature vector field is parallel in the normal bundle. In this article, we focus on biconservative mdimensional submanifoldswhich have parallel normalized mean curvature vector field in $E^{m+2}$. We obtain canonical forms of the shape operators of such submanifolds.
  • Keywords
    Biconservative submanifolds , Parallel normalized mean curvature vector field
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Record number

    2775179