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A Discrete Representation of the Second Fundamental Form

Author

Listed:
  • Alfonso Carriazo

    (Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, C./Tarfia, s.n., 41012 Sevilla, Spain)

  • Luis M. Fernández

    (Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, C./Tarfia, s.n., 41012 Sevilla, Spain)

  • Antonio Ramírez-de-Arellano

    (Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, C./Tarfia, s.n., 41012 Sevilla, Spain)

Abstract

We present a new method to obtain a combinatorial representation for the behaviour of a submanifold isometrically immersed in a Riemannian manifold based on the second fundamental form. We also present several results applying this new way of representation.

Suggested Citation

  • Alfonso Carriazo & Luis M. Fernández & Antonio Ramírez-de-Arellano, 2022. "A Discrete Representation of the Second Fundamental Form," Mathematics, MDPI, vol. 10(13), pages 1-10, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2279-:d:851538
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