On the volume formula for hyperbolic tetrahedra

被引：36

作者：

Cho, YH ^{[1
]}

Kim, H ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea

来源：

关键词：

D O I：

10.1007/PL00009465

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We present a volume formula for arbitrary hyperbolic tetrahedra and give applications for Coxeter tetrahedra.

引用

页码：347 / 366

页数：20

共 12 条

[1]

ALEKSEEVSKIJ DV, 1993, ENCY MATH SCI GEOMET

[2]

Coxeter H. S. M., 1935, Q J MATH OXFORD SER, V6, P13, DOI 10.1093/qmath/os-6.1.13

[3]

JOHNSON NW, SIZE HYPERBOLIC COXE

[4] ON THE VOLUME OF HYPERBOLIC POLYHEDRA [J].

KELLERHALS, R .

[5]

Kellerhals R., 1991, STRUCTURAL PROPERTIE, V37, P301

[6] HYPERBOLIC GEOMETRY - THE 1ST 150 YEARS [J].

MILNOR, J .

RIVIN, I .

[8]

THURSTON WP, 1982, REVISED LECT NOTES P

[9]

VESNIN A, 1996, LECT NOTES SERIES SE, V30

[10] VOLUMES OF NON-EUCLIDEAN POLYHEDRA [J].

VINBERG, EB .