A New Spinor Identity and the Vanishing of Certain Riemann Tensor Invariants

被引：0

作者：

S. Bonanos

机构：

来源：

General Relativity and Gravitation | 1998年 / 30卷

关键词：

RICCI SPINOR IDENTITIES; RIEMANN TENSOR INVARIANTS;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A new spinor identity of third order in the Ricci spinor is presented and is shown to be the reason for the vanishing of certain mixed Riemann tensor invariants found recently by Zakhary and McIntosh. Some further identities satisfied by the different 4-index spinors defined in that paper are also given.

引用

页码：653 / 658

页数：5

共 50 条

[1] A new spinor identity and the vanishing of certain Riemann tensor invariants
Bonanos, S
[J]. GENERAL RELATIVITY AND GRAVITATION, 1998, 30 (04) : 653 - 658
[2] Geometric interpretation of the mixed invariants of the Riemann spinor
Haddow, BM
[J]. GENERAL RELATIVITY AND GRAVITATION, 1996, 28 (04) : 481 - 509
[3] THE WAVE-EQUATIONS FOR THE LANCZOS TENSOR SPINOR, AND A NEW TENSOR IDENTITY
EDGAR, SB
[J]. MODERN PHYSICS LETTERS A, 1994, 9 (06) : 479 - 482
[4] ON FUNCTIONALLY CONSTANT INVARIANTS OF RIEMANN TENSOR
BUCHDAHL, HA
[J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1970, 68 : 179 - &
[5] Invariants of the Riemann tensor: A classical approach
Siklos, S. T. C.
[J]. GENERAL RELATIVITY AND GRAVITATION, 2006, 38 (06) : 1083 - 1094
[6] Tensor invariants and homogeneous Riemann spaces
Surmanidze R.M.
[J]. Journal of Mathematical Sciences, 2013, 195 (2) : 245 - 257
[7] Invariants of the Riemann tensor: A classical approach
S. T. C. Siklos
[J]. General Relativity and Gravitation, 2006, 38 : 1083 - 1094
[8] The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. II. Mixed invariants of even degree in the Ricci spinor
Carminati, J
Lim, AEK
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2006, 47 (05)
[9] Determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. III. Mixed invariants of arbitrary degree in the Ricci spinor
Lim, A. E. K.
Carminati, J.
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (08)
[10] 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 - +

← 1 2 3 4 5 →