Projective metric realizations of cone-manifolds with singularities along 2-bridge knots and links

被引:18
|
作者
Molnár E. [1 ]
Szirmai J. [1 ]
Vesnin A. [2 ,3 ]
机构
[1] Department of Geometry, Institute of Mathematics, Budapest University of Technology and Economics, 1521 Budapest, Budapest XI, Egry J. u. 1
[2] Sobolev Institute of Mathematics, 630090 Novosibirsk
[3] Omsk State Technical University, 644050 Omsk
关键词
Cone-manifold; Knot; Manifold; Orbifold; Projective metrics;
D O I
10.1007/s00022-009-0013-7
中图分类号
学科分类号
摘要
Using projective metric geometry we develop a technique to describe homogeneous 3-dimensional metrics on cone-manifolds generated by two rotations. In particular, for some cone-manifolds with singularities along 2-bridge knots and links we give explicit descriptions of all possible geometries. © 2009 Birkḧuser Verlag Basel/Switzerland.
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页码:91 / 133
页数:42
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