Geometric Optimal Transportation: A PDE Approach to Minimal Curves and Surfaces

Authors

  • Dhanashri Nitiraj Vedpathak, Pratibha Jalindar Ghodake, Vijay Agatrao Galande Author

Keywords:

Optimal Transportation, Partial Differential Equations, Minimal Curves, Minimal Surfaces, Geometric Flows.

Abstract

This paper explores the connection between geometric optimal transportation and partial differential equations (PDEs), with a focus on minimal curves and surfaces. We develop a PDE approach to compute optimal transportation maps and distances, and apply this framework to study the geometry of minimal curves and surfaces. Our results establish a link between optimal transportation and geometric flows, and provide new insights into the geometry of minimal surfaces.

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Published

2023-07-12

Issue

Vol. 6 No. 2 (2023): July-Dec., 2023

Section

Articles

License

Copyright (c) 2023 International Journal of Business Management and Visuals, ISSN: 3006-2705

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Geometric Optimal Transportation: A PDE Approach to Minimal Curves and Surfaces. (2023). International Journal of Business Management and Visuals, ISSN: 3006-2705, 6(2), 16-21. https://ijbmv.com/index.php/home/article/view/75