Least Squares Approximation of Flatness on Riemannian Manifolds

Least Squares Approximation of Flatness on Riemannian Manifolds

The purpose of this paper is fourfold: (i) to introduce and study the Euler–Lagrange prolongations of flatness PDEs solutions (best approximation of flatness) via associated least squares Lagrangian densities and integral functionals on Riemannian manifolds; (ii) to analyze some decomposable multiva...

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Bibliographic Details
Main Authors: Iulia Hirica, Constantin Udriste, Gabriel Pripoae, Ionel Tevy
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Mathematics
Subjects:
geometric flatness
least squares Lagrangian densities
adapted metrics and connections
Online Access:https://www.mdpi.com/2227-7390/8/10/1757

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