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    • Closest point of the cut locus to submanifold

      Hukum Singh

      Volume 98 Issue 2-3 December 1988 pp 179-186

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/098/02-03/0179-0186

    • Keywords

       

      Cut-locus; closest point; submanifold; Riemannian metric; tangent bundles; Jacobi fields

    • Abstract

       

      This paper deals with some of the matching and non-matching properties of two minimal geodesics from a cut point, which is not a focal point, to the points of the submanifold. Closest cut point to the submanifold has been obtained under some additional assumptions.

    • Author Affiliations

       

      Hukum Singh1 2

      1. Postgraduate Department of Mathematics, M. L. K. (PG) College, Balarampur, Gonda - 271 201, India
      2. Department of Education in Science and Mathematics, National Council of Educational Research and Training, Sri Aurobindo Marg, New Delhi - 110016, India

    • Dates

       
      Published
      December 1988
      Manuscript received
      11 November 1987
      Manuscript revised
      8 August 1988

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