A local optimal diastolic inequality on the two-sphere

We prove a local optimal inequality on the two-sphere between the area and the diastole - defined by a minimax process on the one-cycle space - in a neighborhood of the singular metric made of two equilateral triangles glued along their boundaries.

Detalles Bibliográficos
Autor: Balacheff, Florent Nicolas|||0000-0001-9770-2954
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:287639
Acceso en línea:https://ddd.uab.cat/record/287639
https://dx.doi.org/urn:doi:10.1142/S1793525310000264
Access Level:acceso abierto
Palabra clave:Calabi's conjecture
Conical singularity
Diastole
Systole
Two-sphere
Descripción
Sumario:We prove a local optimal inequality on the two-sphere between the area and the diastole - defined by a minimax process on the one-cycle space - in a neighborhood of the singular metric made of two equilateral triangles glued along their boundaries.