| Title:
|
Geodesic reflections in semi-Riemannian geometry (English) |
| Author:
|
García-Río, Eduardo |
| Author:
|
Vázquez-Abal, M. Elena |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
43 |
| Issue:
|
4 |
| Year:
|
1993 |
| Pages:
|
583-597 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C35 |
| MSC:
|
53C50 |
| MSC:
|
53C55 |
| idZBL:
|
Zbl 0809.53059 |
| idMR:
|
MR1258422 |
| DOI:
|
10.21136/CMJ.1993.128439 |
| . |
| Date available:
|
2009-09-24T09:33:38Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128439 |
| . |
| Reference:
|
[BR] Barros, M. and Romero, A.: Indefinite Kähler manifolds..Math. Ann. 261 (1982), 55–62. MR 0675207, 10.1007/BF01456410 |
| Reference:
|
[BeE] Beem, J.K. and Ehrlich, P.E.: Global Lorentzian geometry.Pure and Applied Math. vol. 67, Marcel Dekker, 1981. MR 0619853 |
| Reference:
|
[CV1] Chen, B.Y. and Vanhecke, L.: Isometric, holomorphic and symplectic reflections.Geometriae Dedicata 29 (1989), 259–277. MR 0995302, 10.1007/BF00572443 |
| Reference:
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[CV2] Chen, B.Y. and Vanhecke, L.: Symplectic reflections and complex space forms.(to appear). MR 1143403 |
| Reference:
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[DN] Dajczer, M. and Nomizu, K.: On sectional curvature of indefinite metrics.Math. Ann. 247 (1980), 279–282. MR 0568993, 10.1007/BF01348960 |
| Reference:
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[DVVa] Dodson, C.T.J., Vanhecke, L. and Vázquez-Abal, M.E.: Harmonic geodesic symmetries.C. R. Math. Rep. Acad. Sci. Canada 5 (1987), 231–235. MR 0910160 |
| Reference:
|
[G1] Gray, A.: The volume of a small geodesic ball in a Riemannian manifold.Michigan Math. J. 20 (1973), 329–344. MR 0339002 |
| Reference:
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[G2] Gray, A.: Tubes.Addison-Wesley Publ. Co., Redwood City, 1990. Zbl 0692.53001, MR 1044996 |
| Reference:
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[GV] Gray, A. and Vanhecke, L.: The volumes of tubes about curves in a Riemannian manifold.Proc. London Math. Soc. 44 (1982), 215–243. MR 0647431 |
| Reference:
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[KN] Kobayashi, S. and Nomizu, K.: Foundations of differential geometry I, II.Interscience, New York, 1963, 1969. MR 0152974 |
| Reference:
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[K] Kulkarni, R.S.: The values of sectional curvature in indefinite metrics.Comment. Math. Helv. 54 (1979), 173–176. Zbl 0393.53022, MR 0522040, 10.1007/BF02566265 |
| Reference:
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[O] O’ Neill, B.: Semi-Riemannian geometry with applications to relativity.Academic Press, New York, 1983. Zbl 0531.53051, MR 0719023 |
| Reference:
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[P] Petrov, A.Z.: Einstein spaces.Pergamon Press, New York, 1969. Zbl 0174.28305, MR 0244912 |
| Reference:
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[SV] Sekigawa, K. and Vanhecke, L.: Symplectic geodesic symmetries on Kähler manifolds.Quart. J. Math. Oxford 37 (1986), 95–103. MR 0830633, 10.1093/qmath/37.1.95 |
| Reference:
|
[V] Vanhecke, L.: Geometry in Normal and Tubular Neighborhoods. Lecture Notes, Dep. Math. Kath. Univ. Leuven, Leuven., 1988. and Proc. Workshop on Differential Geometry and Topology. Cala Gonone (Sardinia) 1988.Univ. Cagliari, pp. 73–176. MR 1122858 |
| Reference:
|
[VW] Vanhecke, L. and Willmore, T.J.: Interaction of tubes and spheres.Math. Ann. 263 (1983), 31–42. MR 0697328, 10.1007/BF01457081 |
| . |
