Measurements of Riemannian two-disks and two-spheres

Florent Balacheff

doi:10.2140/pjm.2015.275.167

Measurements of Riemannian two-disks and two-spheres

Florent Balacheff^*

^*Autor correspondiente de este trabajo

Centre National de la Recherche Scientifique (CNRS)

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

2 Citas (Scopus)

1 Descargas (Pure)

Resumen

We prove that any Riemannian two-sphere having area at most 1 can be continuously mapped onto a tree in such a way that the topology of the fibers is controlled and their length is less than 7.6. This result improves previous estimates and relies on a similar statement for Riemannian two-disks.

Idioma original	Inglés
Páginas (desde-hasta)	167-181
Número de páginas	15
Publicación	Pacific Journal of Mathematics
Volumen	275
N.º	1
DOI	https://doi.org/10.2140/pjm.2015.275.167
Estado	Publicada - 2015

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title = "Measurements of Riemannian two-disks and two-spheres",

abstract = "We prove that any Riemannian two-sphere having area at most 1 can be continuously mapped onto a tree in such a way that the topology of the fibers is controlled and their length is less than 7.6. This result improves previous estimates and relies on a similar statement for Riemannian two-disks.",

keywords = "Bers constant, Closed geodesic, Curvature-free inequalities, Isoperimetric inequalities, Width",

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KW - Closed geodesic

KW - Curvature-free inequalities

KW - Isoperimetric inequalities

KW - Width

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Measurements of Riemannian two-disks and two-spheres

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