1 |
H. W. Brinkmann, Einstein spaces which are mapped conformally on each other, Math. Ann. 94 (1925), 119-145
DOI
|
2 |
K. L. Duggaland Sharma and R. Sharma, Symmetries of Spacetimes and Rie- mannian Manifolds, Kluwer Academic Publishers, Dordrecht, 1999
|
3 |
P. Penrose and W. Rindler, Spinors and space time, Vol. 1, 2, Cambridge Monogr. Math. Phys. 1986
|
4 |
D. Eardley, J. Isenberg, J. Marsden, and V. Moncrief, Homothetic and conformal Symmetries of solutions to Einstein's equations, Comm. Math. Phys. 106 (1986), 137-158
DOI
|
5 |
M. G. Kerckhove, Conformal transformations of pseudo-Riemannian Einstein manifolds, Thesis, Brown University, 1988
|
6 |
W. D. Halford, Brinkmann's theorem in general relativity, Gen. Relativity Gravitation 14 (1982), 1193-1195
DOI
|
7 |
G. S. Hall, Symmetries and geometry in general relativity, Differential Geom. Appl. 1 (1991), 35-45
DOI
ScienceOn
|
8 |
Y. Kerbrat, Transformations conformes des varietes pseudo-riemanniannes, J. Differential Geom. 11 (1976), 547-571
|
9 |
M. G. Kerckhove, The structure of Einstein spaces admitting conformal motions, Classical Quantum Gravity 8 (1991), 819-825
DOI
ScienceOn
|
10 |
D. -S. Kim and Y. H. Kim, A characterization of space forms, Bull. Korean Math. Soc. 35 (1998), no. 4, 757-767
|
11 |
W. Kuhnel, Conformal transformations between Einstein spaces, In: Conformal Geometry, R. S. Kulkarni and U. Pinkal, Aspects Math. E12 (1988), 105-146
|
12 |
W. Kuhnel and H. B. Rademacher, Twistor spinors with zeros, Internat. J. Math. 5 (1994), 877-895
DOI
|
13 |
W. Kuhnel and H. B. Rademacher, Conformal vector fields on pseudo-Riemannian spaces, Diffrential Geom. Appl. 7 (1997), 237-250
DOI
ScienceOn
|
14 |
W. Kuhnel and H. B. Rademacher, Essential conformal fields in pseudo-Riemannian geometry, J. Math. Pures Appl. 74 (1995), no. 9, 453-481
|
15 |
B. T. McInnes, Brinkmann's theorem in general relativity and non-Riemannian field theories, Gen. Relativity Gravitation 12 (1980), 767-773
DOI
|
16 |
B. O'Neill, Semi-Riemannian geometry with applications to relativity, Academic Press, New York, 1983
|
17 |
D. -S. Kim, Y. H. Kim, S. -B. Kim, and S. -H. Park, Conformal vector fields and totally umbilic hypersurfaces of a pseudo-Riemannian space form, Bull. Korean Math. Soc. 39 (2002), no. 4, 671-680
DOI
ScienceOn
|
18 |
H. B. Rademacher, Generalized Killing Spinors with imaginary Killing function and conformal Killing fields, In: Global diffrential geometry and global analysis(Berlin, 1990), Lecture Notes in Math. 1481 (1991), Springer, Berlin, 192-198
|
19 |
R. Sharma and K. L. Duggal, A characterization of affine conformal vector field, C. R. Math. Acad. Sci. Soc. R. Can. 7 (1985), 201-205
|
20 |
K. Yano, The theory of Lie derivatives and its applications, North-Holland, Amsterdam, 1957
|
21 |
D. Garfinkle and Q. Tian, Spacetimes with cosmological constant and a conformal Killing field have constant curvature, Classical Quantum Gravity 4 (1987), 137-139
DOI
ScienceOn
|