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Normal Curves on a Smooth Immersed Surface

Author

Listed:
  • Absos Ali Shaikh

    (The University of Burdwan, Golapbag)

  • Mohamd Saleem Lone

    (Tata Institute of Fundamental Research)

  • Pinaki Ranjan Ghosh

    (The University of Burdwan, Golapbag)

Abstract

The aim of this paper is to investigate a sufficient condition for the invariance of a normal curve on a smooth immersed surface under isometry. We also find the deviations of the tangential and normal components of the curve with respect to the given isometry.

Suggested Citation

  • Absos Ali Shaikh & Mohamd Saleem Lone & Pinaki Ranjan Ghosh, 2020. "Normal Curves on a Smooth Immersed Surface," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(4), pages 1343-1355, December.
    • Handle: RePEc:spr:indpam:v:51:y:2020:i:4:d:10.1007_s13226-020-0469-6
    DOI: 10.1007/s13226-020-0469-6
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    References listed on IDEAS

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    1. Absos Ali Shaikh & Pinaki Ranjan Ghosh, 2019. "Rectifying curves on a smooth surface immersed in the Euclidean space," Indian Journal of Pure and Applied Mathematics, Springer, vol. 50(4), pages 883-890, December.
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    1. Absos Ali Shaikh & Pinaki Ranjan Ghosh, 2020. "Rectifying and Osculating Curves on a Smooth Surface," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(1), pages 67-75, March.
    2. Absos Ali Shaikh & Pinaki Ranjan Ghosh, 2020. "Curves on a Smooth Surface with Position Vectors Lie in the Tangent Plane," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(3), pages 1097-1104, September.

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