Tensor invariants and homogeneous Riemann spaces

被引：0

作者：

Surmanidze R.M. ^{[1
]}

机构：

[1] Department of Mathematics, Tbilisi State University, Tbilisi

来源：

Journal of Mathematical Sciences | 2013年 / 195卷 / 2期

关键词：

Homogeneous Space; Irreducible Component; Simple Root; Linear Inequality; Cartan Subalgebra;

D O I：

10.1007/s10958-013-1577-1

中图分类号：

学科分类号：

摘要：

Homogeneous Riemann spaces M = ℘/tsh{cyrillic} with an irreducible isotropy group are considered. On such spaces dimensions are calculated for spaces of p-invariant tensor fields of valence 2, 3, 4. In particular, consideration is given to homogeneous spaces whose isotropy groups are given by the diagrams given in Table 8. © 2013 Springer Science+Business Media New York.

引用

页码：245 / 257

页数：12

共 50 条

[1] ON FUNCTIONALLY CONSTANT INVARIANTS OF RIEMANN TENSOR
BUCHDAHL, HA
[J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1970, 68 : 179 - &
[2] Invariants of the Riemann tensor: A classical approach
Siklos, S. T. C.
[J]. GENERAL RELATIVITY AND GRAVITATION, 2006, 38 (06) : 1083 - 1094
[3] Invariants of the Riemann tensor: A classical approach
S. T. C. Siklos
[J]. General Relativity and Gravitation, 2006, 38 : 1083 - 1094
[4] INVAR: COMPUTER ALGEBRA FOR THE INVARIANTS OF THE RIEMANN TENSOR
Martin-Garcia, J. M.
Yllanes, D.
Portugal, R.
[J]. SPANISH RELATIVITY MEETING, ERE2007: RELATIVISTIC ASTROPHYSICS AND COSMOLOGY, 2008, 30 : 223 - +
[5] The Invar tensor package: Differential invariants of Riemann
Martin-Garcia, J. M.
Yllanes, D.
Portugal, R.
[J]. COMPUTER PHYSICS COMMUNICATIONS, 2008, 179 (08) : 586 - 590
[6] Eta Invariants of Homogeneous Spaces
Goette, S.
[J]. PURE AND APPLIED MATHEMATICS QUARTERLY, 2009, 5 (03) : 915 - 946
[7] Equivariant η-invariants on homogeneous spaces
Goette, S
[J]. MATHEMATISCHE ZEITSCHRIFT, 1999, 232 (01) : 1 - 42
[8] ON THE ALGEBRAIC INVARIANTS OF THE 4-DIMENSIONAL RIEMANN TENSOR
SNEDDON, GE
[J]. CLASSICAL AND QUANTUM GRAVITY, 1986, 3 (05) : 1031 - 1032
[9] ON THE ALGEBRAIC INVARIANTS OF THE 4-DIMENSIONAL RIEMANN TENSOR
HARVEY, A
[J]. CLASSICAL AND QUANTUM GRAVITY, 1990, 7 (04) : 715 - 716
[10] On the problem of algebraic completeness for the invariants of the Riemann tensor: I
Zakhary, E
Carminati, J
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2001, 42 (03) : 1474 - 1485

← 1 2 3 4 5 →