1 |
A. Derdzinski and C. L. Shen, Codazzi tensor fields, curvature and Pontryagin forms, Proc. London Math. Soc. 47 (1983), no. 1, 15-26.
|
2 |
G. S. Hall, Symmetries and Curvature Structure in General Relativity, World Scientific Singapore, 2004.
|
3 |
F. Hirzebruch, New Topological Methods in Algebraic Topology, Springer, 1966.
|
4 |
V. R. Kaigorodov, The curvature structure of spacetimes, Problems of Geometry 14 (1983), 177-204.
|
5 |
Q. Khan, On Recurrent Riemannian Manifolds, Kyungpook Math. J. 44 (2004), no. 2, 269-276.
과학기술학회마을
|
6 |
D. Lovelock and H. Rund, Tensors, differential forms and variational principles, reprint Dover ed 1988.
|
7 |
C. A. Mantica and L. G. Molinari, A second order identity for the Riemannian tensor and applications, Colloq. Math. 122 (2011), no. 1, 69-82.
DOI
|
8 |
C. A. Mantica and L. G. Molinari, Extended Derdzinski-Shen theorem for curvature tensors, Colloq. Math. 128 (2012), no. 1, 1-6.
DOI
|
9 |
C. A. Mantica and L. G. Molinari, Weyl compatible tensors, arXiv: 1212.1273 [math-ph], 21 Jan. 2013.
|
10 |
M. Nakahara, Geometry, Topology and Physics, Second Edition, Taylor & Francis, New York, 2003.
|
11 |
C. A. Mantica and L. G. Molinari, Conformally quasi recurrent pseudo-Riemannian manifolds, arXiv: 1305.5060 vl [math. D. G.], 22 May 2013.
|
12 |
R. G. McLenaghan and J. Leroy, Complex recurrent space-times, Proc. Roy. Soc. London Ser. A 327 (1972), 229-249.
DOI
|
13 |
R. G. McLenaghan and H. A. Thompson, Second order recurrent space-times in general relativity, Lett. Nuovo Cimento 5 (1972), no. 7, 563-564.
DOI
|
14 |
A. Z. Petrov, The classification of spaces defining gravitational field, Gen. Relativity Gravitation 32 (2000), no. 8, 1665-1685.
DOI
|
15 |
M. M. Postnikov, Geometry VI: Riemannian geometry, Encyclopaedia of Mathematical Sciences, Vol. 91, Springer, 2001.
|
16 |
R. Sachs, Gravitational waves in general relativity. VI. The outgoing radiation condition, Proc. Roy. Soc. Ser. A 264 (1961), 309-338.
DOI
|
17 |
R. Sharma, Proper conformal symmetries of conformal symmetric spaces, J. Math. Phys. 29 (1988), no. 11, 2421-2422.
DOI
|
18 |
R. Sharma, Proper conformal symmetries of space-times with divergence-free Weyl conformal tensor, J. Math. Phys. 34 (1988), no. 8, 3582-3587.
|
19 |
H. Sthepani, D. Kramer, M. MacCallum, C. Hoenselaers, and E. Hertl, Exact solutions of Einstein's Field Equations, Cambridge University Press, 2003.
|
20 |
Y. J. Suh and J.-H. Kwon, Conformally recurrent semi-Riemannian manifolds, Rocky Mountain J. Math. 35 (2005), no. 1, 285-307.
DOI
ScienceOn
|
21 |
A. G. Walker, On Ruse's spaces of recurrent curvature, Proc. London Math. Soc. 52 (1950), 36-64.
|
22 |
K. Yano, The Theory of Lie Derivatives and Its applications, Interscience, New York, 1957.
|
23 |
B. Barua and U. C. De, Proper conformal collineation in conformally recurrent spaces, Bull. Cal. Math. Soc. 91 (1999), 333-336.
|
24 |
T. Adati and T. Miyazawa, On Riemannian space with recurrent conformal curvature, Tensor (N.S.) 18 (1967), 348-354.
|
25 |
A. Avez, Formule de Gauss-Bonnet-Chern en metrique de signature quelconque, C. R. Acad. Sci. Paris 255 (1962), 2049-2051.
|
26 |
L. Bel, Radiation states and the problem of energy in general relativity, Gen. Relativity Gravitation 32 (2000), no. 10, 2047-2078.
DOI
|
27 |
F. Defever and R. Deszcz, On semi Riemannian manifolds satisfying the condition R R = Q(S,R) in geometry and topology of submanifolds. III, World Scientific Publ. Singapore (1991), 108-130.
|
28 |
U. C. De and H. A. Biswas, On pseudo conformally symmetric manifolds, Bull. Calcutta Math. Soc. 85 (1993), no. 5, 479-486.
|
29 |
U. C. De and B. K. Mazumder, Some remarks on proper conformal motions in pseudo conformally symmetric spaces, Tensor (N.S.) 60 (1998), no. 1, 48-51.
|
30 |
R. Debever, Tenseur de super-energie, tenseur de Riemann.cas singuliers, C. R. Acad. Sci. (Paris) 249 (1959), 1744-1746.
|
31 |
F. De Felice and C. J. S. Clarke, Relativity on Curved Manifolds, Cambridge University Press, 1990.
|
32 |
A. Derdzinski and W. Roter, On compact manifolds admitting indefinite metrics with parallel Weyl tensor, J. Geom. Phys. 58 (2008), no. 9, 1137-1147.
DOI
ScienceOn
|
33 |
H. Sthepani, General Relativity, Cambridge University Press, 2004.
|
34 |
C. A. Mantica and L. G. Molinari, Riemann compatible tensors, Colloq. Math. 128 (2012), no. 2, 197-210.
DOI
|