Short loops in surfaces with a circular boundary component
It is a classical theorem of Loewner that the systole of a Riemannian torus can be bounded in terms of its area. We answer a question of a similar flavor of Robert Young showing that if S is a Riemannian surface with connected boundary in Rn, such that the boundary curve is a standard unit circle, t...
Autor Principal: | |
---|---|
Formato: | Journal article |
Idioma: | English |
Publicado: |
World Scientific Publishing
2018
|