Cut locus contained in a hypersurface
نویسندگان
چکیده
منابع مشابه
Cut locus structures on graphs
Motivated by a fundamental geometrical object, the cut locus, we introduce and study a new combinatorial structure on graphs.
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In this paper we show that, for each Ekedahl-Oort stratum contained in the supersingular locus, the number of its irreducible components is equal to a class number of a quaternion unitary group. MSC: primary: 14K10; secondary: 11G10; 14L05
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We showed in [4] that every connected graph can be realized as the cut locus of some point on some riemannian surface S. Here, criteria for the orientability of S are given, and are applied to classify the distinct, orientable, cut locus structures on graphs with four generating cycles. Math. Subj. Classification (2000): — 53C22, 05C10
متن کاملSome Properties of Cut Locus of a Flat Torus
In this article, we would like to show that there is no cut point of any point in a plane, but there exists the cut locus of a point in a flat torus. By the results, we would like to determine the structure of cut locus of a flat torus. Keywords—Cut locus, flat torus, geodesics.
متن کاملA Remark on Berezin’s Quantization and Cut Locus
The consequences for Berezin’s quantization on symmetric spaces of the identity of the set of coherent vectors orthogonal to a fixed one with the cut locus are stated precisely. It is shown that functions expressing the coherent states, the covariant symbols of operators, the diastasis function, the characteristic and twopoint functions are defined when one variable does not belong to the cut l...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1988
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1988-0929429-4