A Discrete Representation of the Second Fundamental Form

A Discrete Representation of the Second Fundamental Form

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.

Bibliographic Details
Main Authors: Alfonso Carriazo, Luis M. Fernández, Antonio Ramírez-de-Arellano
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Mathematics
Subjects:
geometry of submanifolds
combinatorial structure
second fundamental form
totally umbilical submanifold
minimal submanifold
Lagrangian submanifold
Online Access:https://www.mdpi.com/2227-7390/10/13/2279

Internet

https://www.mdpi.com/2227-7390/10/13/2279

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