메뉴 건너뛰기




Volumn 37, Issue 2, 1996, Pages 1059-1075

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

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030552321     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531425     Document Type: Article
Times cited : (18)

References (22)
  • 1
    • 73949107129 scopus 로고
    • The scalar invariants of a general gravitational metric
    • V. V. Narlikar and K. R. Karmarkar, "The scalar invariants of a general gravitational metric," Proc. Indian Acad. Sci. 29, 91-97 (1948).
    • (1948) Proc. Indian Acad. Sci. , vol.29 , pp. 91-97
    • Narlikar, V.V.1    Karmarkar, K.R.2
  • 2
    • 0000524114 scopus 로고
    • Les invariants de courboure de l'space de Riemann à quatre dimensions
    • J. Géhéniau and R. Debever, "Les invariants de courboure de l'space de Riemann à quatre dimensions," Bull. Acad. Roy. Belg., Cl. des Sc. XLII, 114-123 (1956); J. Géhéniau, "Les invariants de courboure des espaces Riemanniens de la relativité," ibid. XLII, 252-255 (1956); R. Debever, "Étude géométrique du tenseur de Riemann-Christoffel des espaces de Riemann à quatre dimensions," ibid. XLII, 313-327, 608-621 (1956).
    • (1956) Bull. Acad. Roy. Belg., Cl. des Sc. , vol.42 , pp. 114-123
    • Géhéniau, J.1    Debever, R.2
  • 3
    • 0009281766 scopus 로고
    • Les invariants de courboure des espaces Riemanniens de la relativité
    • J. Géhéniau and R. Debever, "Les invariants de courboure de l'space de Riemann à quatre dimensions," Bull. Acad. Roy. Belg., Cl. des Sc. XLII, 114-123 (1956); J. Géhéniau, "Les invariants de courboure des espaces Riemanniens de la relativité," ibid. XLII, 252-255 (1956); R. Debever, "Étude géométrique du tenseur de Riemann-Christoffel des espaces de Riemann à quatre dimensions," ibid. XLII, 313-327, 608-621 (1956).
    • (1956) Bull. Acad. Roy. Belg., Cl. des Sc. , vol.42 , pp. 252-255
    • Géhéniau, J.1
  • 4
    • 0009141907 scopus 로고
    • Étude géométrique du tenseur de Riemann-Christoffel des espaces de Riemann à quatre dimensions
    • J. Géhéniau and R. Debever, "Les invariants de courboure de l'space de Riemann à quatre dimensions," Bull. Acad. Roy. Belg., Cl. des Sc. XLII, 114-123 (1956); J. Géhéniau, "Les invariants de courboure des espaces Riemanniens de la relativité," ibid. XLII, 252-255 (1956); R. Debever, "Étude géométrique du tenseur de Riemann-Christoffel des espaces de Riemann à quatre dimensions," ibid. XLII, 313-327, 608-621 (1956).
    • (1956) Bull. Acad. Roy. Belg., Cl. des Sc. , vol.42 , pp. 313-327
    • Debever, R.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 Gravit. 3, 1031-1032 (1986).
    • (1986) Class. Quantum Gravit. , vol.3 , pp. 1031-1032
    • Sneddon, G.E.1
  • 8
    • 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
  • 11
    • 0040774494 scopus 로고    scopus 로고
    • Reference 7, p. 263
    • Reference 7, p. 263.
  • 14
    • 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
  • 15
    • 0000141809 scopus 로고
    • On rotor calculus I
    • H. A. Buchdahl, "On rotor calculus I," J. Aust. Math. Soc. 6, 402-423 (1966); H. A. Buchdahl, "On rotor calculus II," ibid. 6, 424-448 (1966).
    • (1966) J. Aust. Math. Soc. , vol.6 , pp. 402-423
    • Buchdahl, H.A.1
  • 16
    • 0000141809 scopus 로고
    • On rotor calculus II
    • H. A. Buchdahl, "On rotor calculus I," J. Aust. Math. Soc. 6, 402-423 (1966); H. A. Buchdahl, "On rotor calculus II," ibid. 6, 424-448 (1966).
    • (1966) J. Aust. Math. Soc. , vol.6 , pp. 424-448
    • Buchdahl, H.A.1
  • 17
    • 0000394389 scopus 로고    scopus 로고
    • A complex vectorial formalism in general relativity
    • M. Cahen, R. Debever, and L. Defrise, "A complex vectorial formalism in general relativity," J. Math. Mech. 16, 761-785.
    • J. Math. Mech. , vol.16 , pp. 761-785
    • Cahen, M.1    Debever, R.2    Defrise, L.3
  • 18
    • 36749116258 scopus 로고
    • The classification of the Ricci and Plebański tensors in general relativity using Newman-Penrose formalism
    • C. B. G. McIntosh, J. Foyster, and A. W. C. Lun, "The classification of the Ricci and Plebański tensors in general relativity using Newman-Penrose formalism,́ J. Math. Phys. 22, 2620-2623 (1981).
    • (1981) J. Math. Phys. , vol.22 , pp. 2620-2623
    • McIntosh, C.B.G.1    Foyster, J.2    Lun, A.W.C.3
  • 19
    • 0005161836 scopus 로고
    • Two important invariant identities
    • Dianyan Xu, ́Two important invariant identities,́ Phys. Rev. D 35, 769-770 (1987).
    • (1987) Phys. Rev. D , vol.35 , pp. 769-770
    • Xu, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.