Features for Riemannian N-manifold Classification

Riemannian n-manifolds are topological spaces with a riemannian metric, in which Euclidean spaces of dimension n are just special examples. In the discipline of topology, several simple classification criteria exist, such as detecting some basic traits in each instance of a riemannian n-manifold and then assigning it to its corresponding homeomorphic counterpart, respecting topological attributes such as connectedness and compactness. As a result, the goal of this research is to offer the necessary topological invariants for classifying riemannian n-manifolds with n = 1, 2, and 3. While the focus of this study is on surface classification, some observations on categorising curves and volumes are made by examining their Riemannian n-manifolds.

Author(s) Details:

Pedro J. Roig,
Miguel Hernandez University, Elche, Spain and  University of the Balearic Islands, Spain.

Salvador Alcaraz,
Miguel Hernandez University, Elche, Spain.

Katja Gilly,
Miguel Hernandez University, Elche, Spain.

Cristina Bernad,
Miguel Hernandez University, Elche, Spain.

Carlos Juiz,
University of the Balearic Islands, Spain.

Please see the link here: https://stm.bookpi.org/NTPSR-V4/article/view/6929

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