Geodesic
Special Einstein’s equations on Kähler manifolds
Archivum mathematicum, Tome 46 (2010) no. 5, pp. 333-337.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov’s classification of Riemannian manifolds according to special properties of the energy-momentum tensor to Kähler manifolds. We show that in this case the number of classes reduces.
Classification : 32Q15, 35Q76, 53B20, 53B30, 53B35, 53B50
Keywords: Einstein’s equations; Kähler manifolds; pseudo-Riemannian spaces; Riemannian spaces 
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     author = {Hinterleitner, Irena and Kiosak, Volodymyr},
     title = {Special {Einstein{\textquoteright}s} equations on {K\"ahler} manifolds},
     journal = {Archivum mathematicum},
     pages = {333--337},
     publisher = {mathdoc},
     volume = {46},
     number = {5},
     year = {2010},
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     zbl = {1249.53015},
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     url = {http://geodesic.mathdoc.fr/item/ARM_2010__46_5_a3/}
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Hinterleitner, Irena; Kiosak, Volodymyr. Special Einstein’s equations on Kähler manifolds. Archivum mathematicum, Tome 46 (2010) no. 5, pp. 333-337. http://geodesic.mathdoc.fr/item/ARM_2010__46_5_a3/