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Volumn 39, Issue 3, 1998, Pages 1659-1679

The identities of the algebraic invariants of the four-dimensional Riemann tensor. II

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EID: 0032353861     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532630     Document Type: Article
Times cited : (21)

References (21)
  • 1
    • 33845285168 scopus 로고
    • Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space
    • J. Carminati and R. G. McLenaghan, "Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space," J. Math. Phys. 32, 3135-3140 (1991).
    • (1991) J. Math. Phys. , vol.32 , pp. 3135-3140
    • Carminati, J.1    McLenaghan, R.G.2
  • 2
    • 21844494775 scopus 로고
    • Identities of the scalars of the four-dimensional Riemannian manifold
    • A. Harvey, "Identities of the scalars of the four-dimensional Riemannian manifold," J. Math. Phys. 36, 356-361 (1995).
    • (1995) J. Math. Phys. , vol.36 , pp. 356-361
    • Harvey, A.1
  • 4
    • 0030306775 scopus 로고    scopus 로고
    • Geometric interpretation of the mixed invariants of the Riemann spinor
    • B. M. Haddow, "Geometric interpretation of the mixed invariants of the Riemann spinor," Gen. Relativ. Gravit. 28, 481-509 (1996).
    • (1996) Gen. Relativ. Gravit. , vol.28 , pp. 481-509
    • Haddow, B.M.1
  • 5
    • 0000426290 scopus 로고
    • The algebra of the Riemann curvature tensor in general relativity: Preliminaries
    • P. J. Greenberg, "The algebra of the Riemann curvature tensor in general relativity: Preliminaries," Stud. Appl. Math. 51, 277-308 (1972).
    • (1972) Stud. Appl. Math. , vol.51 , pp. 277-308
    • Greenberg, P.J.1
  • 6
    • 36749108039 scopus 로고
    • Space-time algebra approach to curvature
    • G. Sobczyk, "Space-time algebra approach to curvature," J. Math. Phys. 22, 333-342 (1981).
    • (1981) J. Math. Phys. , vol.22 , pp. 333-342
    • Sobczyk, G.1
  • 7
    • 0000849814 scopus 로고
    • On the algebraic invariants of the four-dimensional Riemann tensor
    • G. E. Sneddon, "On the algebraic invariants of the four-dimensional Riemann tensor," Class. Quantum Grav. 3, 1031-1032 (1986).
    • (1986) Class. Quantum Grav. , vol.3 , pp. 1031-1032
    • Sneddon, G.E.1
  • 8
    • 0030552321 scopus 로고    scopus 로고
    • The identities of the algebraic invariants of the four-dimensional Riemann tensor
    • G. E. Sneddon, "The identities of the algebraic invariants of the four-dimensional Riemann tensor," J. Math. Phys. 37, 1059-1075 (1996).
    • (1996) J. Math. Phys. , vol.37 , pp. 1059-1075
    • Sneddon, G.E.1
  • 9
    • 0000141809 scopus 로고
    • On rotor calculus I
    • H. A. Buchdahl, "On rotor calculus I," J. Aust. Math. Soc. B, Appl. Math. 6, 402-423 (1966); "On rotor calculus II," ibid. 6, 424-448 (1966).
    • (1966) J. Aust. Math. Soc. B, Appl. Math. , vol.6 , pp. 402-423
    • Buchdahl, H.A.1
  • 10
    • 84958479010 scopus 로고
    • On rotor calculus II
    • H. A. Buchdahl, "On rotor calculus I," J. Aust. Math. Soc. B, Appl. Math. 6, 402-423 (1966); "On rotor calculus II," ibid. 6, 424-448 (1966).
    • (1966) J. Aust. Math. Soc. B, Appl. Math. , vol.6 , pp. 424-448
  • 11
    • 34250959542 scopus 로고
    • The theory of matrix polynomials and its application to the mechanics of isotropic continua
    • A. J. M. Spencer and R. S. Rivlin, "The theory of matrix polynomials and its application to the mechanics of isotropic continua," Arch. Ration. Mech. Anal. 2, 309-336 (1958).
    • (1958) Arch. Ration. Mech. Anal. , vol.2 , pp. 309-336
    • Spencer, A.J.M.1    Rivlin, R.S.2
  • 13
    • 0004109271 scopus 로고
    • Princeton University Press, Princeton
    • H. Weyl, The Classical Groups (Princeton University Press, Princeton, 1939).
    • (1939) The Classical Groups
    • Weyl, H.1
  • 16
    • 0001637341 scopus 로고
    • The invariant theory of n×n matrices
    • C. Procesi, "The invariant theory of n×n matrices," Adv. Math. 19, 306-381 (1976).
    • (1976) Adv. Math. , vol.19 , pp. 306-381
    • Procesi, C.1
  • 18
    • 0001553278 scopus 로고
    • Finite integrity bases for five or fewer symmetric 3×3 matrices
    • A. J. M. Spencer and R. S. Rivlin, "Finite integrity bases for five or fewer symmetric 3×3 matrices," Arch. Ration. Mech. Anal. 2, 435-446 (1959).
    • (1959) Arch. Ration. Mech. Anal. , vol.2 , pp. 435-446
    • Spencer, A.J.M.1    Rivlin, R.S.2
  • 19
    • 34250959133 scopus 로고
    • Further results in the theory of matrix polynomials
    • A. J. M. Spencer and R. S. Rivlin, "Further results in the theory of matrix polynomials," Arch. Ration. Mech. Anal. 4, 214-230 (1960).
    • (1960) Arch. Ration. Mech. Anal. , vol.4 , pp. 214-230
    • Spencer, A.J.M.1    Rivlin, R.S.2
  • 20
    • 84972047921 scopus 로고
    • Dimensionally dependent identities
    • D. Lovelock, "Dimensionally dependent identities," Proc. Cambridge Philos. Soc. 68, 379-389 (1970).
    • (1970) Proc. Cambridge Philos. Soc. , vol.68 , pp. 379-389
    • Lovelock, D.1
  • 21
    • 0030738936 scopus 로고    scopus 로고
    • The Lanczos potential for the Weyl curvature tensor: Existence, wave equation and algorithms
    • S. B. Edgar and A. Höglund, "The Lanczos potential for the Weyl curvature tensor: existence, wave equation and algorithms," Proc. R. Soc. London, Ser. A 453, 835-851 (1997).
    • (1997) Proc. R. Soc. London, Ser. A , vol.453 , pp. 835-851
    • Edgar, S.B.1    Höglund, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.