منابع مشابه
Notes on Gromov’s systolic estimate
These notes cover some of the main results of Gromov’s paper Filling Riemannian manifolds. The goal of these notes is to make the results and proofs accessible to more people. The main result is that if (M, g) is a Riemannian manifold of dimension n, then there is a non-contractible curve in (M, g) of length at most Cn Vol(M, g)1/n.
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These notes comment on Williams’ fundamental essay Notes on Conditional Previsions, written as a research report in 1975 and published in the present issue. Basic aspects of that work are discussed, including historical background and relevance to the foundations of probability; examples are supplied to help understanding.
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2007
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-006-9111-y