Testing metric relations on Finsler manifolds via a geodesic detecting algorithm

Alexandru Kristaly, Agoston Roth

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

By using evolutionary techniques (genetic algorithms), we provide a geodesic detecting algorithm in order to test metric relations on a large class of not necessarily reversible Finsler manifolds. In particular, we focus our attention to a rigidity conjecture: any Finsler manifold which is a Busemann NPC space is Berwaldian. Beside of existing theoretical results in the literature, we support this statement by several numerical examples provided by our algorithm.

Original languageEnglish
Title of host publicationSACI 2014 - 9th IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings
PublisherIEEE Computer Society
Pages331-336
Number of pages6
ISBN (Print)9781479946945
DOIs
Publication statusPublished - Jan 1 2014
Event9th IEEE International Symposium on Applied Computational Intelligence and Informatics, SACI 2014 - Timisoara, Romania
Duration: May 15 2014May 17 2014

Publication series

NameSACI 2014 - 9th IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings

Conference

Conference9th IEEE International Symposium on Applied Computational Intelligence and Informatics, SACI 2014
CountryRomania
CityTimisoara
Period5/15/145/17/14

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Keywords

  • Busemann NPC space
  • Finslerian geodesics
  • Genetic algorithms

ASJC Scopus subject areas

  • Artificial Intelligence
  • Information Systems

Cite this

Kristaly, A., & Roth, A. (2014). Testing metric relations on Finsler manifolds via a geodesic detecting algorithm. In SACI 2014 - 9th IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings (pp. 331-336). [6840087] (SACI 2014 - 9th IEEE International Symposium on Applied Computational Intelligence and Informatics, Proceedings). IEEE Computer Society. https://doi.org/10.1109/SACI.2014.6840087