The diameter of an immersed Riemannian manifold with bounded mean curvature
نویسندگان
چکیده
منابع مشابه
The Diameter and the Mean Distance of a Riemannian Manifold
Let M be a compact Riemannian manifold. For x, y G M, denote by p(x,y) the distance between x and y, i.e., the infimum of lengths of continuous piecewise C paths between x and y. (Notice that for geodesically complete manifolds there is always a path from x to y of length p(x,y).) The invariants of M based on the distance p are called metrical invariants. Most of them are related to the geometr...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1981
ISSN: 0263-6115
DOI: 10.1017/s1446788700033462