Finsler Transnormal Functions and Singular Foliations of Codimension 1

• Ano de defesa: 2018
• Autor(a) principal: Raeisidehkordi, Hengameh
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: eng
• Instituição de defesa: Biblioteca Digitais de Teses e Dissertações da USP
• Palavras-chave em Português: Finsler foliation; Finsler metric; Foliação Finsler; Funções transnormais; Randers manifold; Singular foliation; Transnormal functions; Variedades Finsler; Variedades Randers
• Link de acesso: http://www.teses.usp.br/teses/disponiveis/45/45131/tde-05042018-210826/

Transnormal functions are generalization of distance functions and this topic has some applications in Physics and real world problems. In this work, some results are generalized from Riemannian case to the Finsler one. Moreover certain new phenomena that happen only in Finsler spaces are discussed. To have a better understanding, certain examples based on the mentioned results in Randers spaces are provided. Moreover, some applications on propagation of waves of fire and water are introduced