منابع مشابه
Systolic Inequalities and Minimal Hypersurfaces
We give a short proof of the systolic inequality for the n-dimensional torus. The proof uses minimal hypersurfaces. It is based on the Schoen-Yau proof that an n-dimensional torus admits no metric of positive scalar curvature. In this paper, we give a short new proof of the systolic inequality for the ndimensional torus. Theorem 1. Let (T , g) be a Riemannian metric on the n-dimensional torus. ...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2017
ISSN: 0022-040X
DOI: 10.4310/jdg/1497405627