Differential geometry consists in applying differential calculation tools to the study of geometry. Its presentation within an Euclidian space requires using the curve theory approach which then ...

Flowlines on ice sheets and glaciers form complex patterns. To explore their role in ice routing and extend the language for studying such patterns, we develop a theory of flow convergence and ...

This repository contains two Jupyter notebooks that use Sympy to compute fundamental forms, Christoffel symbols, curvatures, and related differential-geometric quantities for surfaces defined by ...

Abstract: Inspired by differential geometry, we present singularity cancellation (SC) methods for curvilinear surface elements. The method relies on an approximate distance function inspired by the ...

Differential manifolds provide higher dimensional generalizations of surfaces. They appear in a very natural manner in many areas of mathematics and physics. On a differential manifold or more ...

Abstract: To make the geometrical basis for soft matters with curved surfaces such as biomembranes as simple as possible, a symmetrical analytical system was developed in conventional differential ...

ABSTRACT: This contribution presents an outline of a new mathematical formulation for Classical Non-Equilibrium Thermodynamics (CNET) based on a contact structure in differential geometry. First a non ...

During a meeting of the Raman Institute Journal Club in the 1980s, my colleague Chandrakant Shukre and I were reviewing papers on quantum physics. Michael Berry from the University of Bristol had ...

1 Departamento Interdisciplinar do Campus Litoral Norte, Universidade Federal do Rio Grande do Sul (UFRGS), Tramandaí, Brasil. 2 Universidade Federal da Fronteira Sul (UFFS)-Campus Chapecó, Chapecó, ...