On some class of nearly conformally symmetric manifolds

• Autorzy: Stanisław Formella
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1995
• Tom: 68
• Numer: 1
• Strony: 149-164

Daty

wydano

1995

otrzymano

1991-09-16

poprawiono

1992-09-16

poprawiono

1994-09-25

Twórcy

autor

Stanisław Formella

• Institute of Mathematics, Technical University of Szczecin, Al. Piastów 48/49, 70-310 Szczecin, Poland

Bibliografia

• [1] S. Formella, Geodätische Abbildungen der Riemannschen Mannigfaltigkeiten auf Einsteinsche Mannigfaltigkeiten, Tensor (N.S.) 39 (1982), 141-147.
• [2] S. Formella, Geodesic mappings of pseudo-Riemannian manifolds, to appear.
• [3] S. Formella, Generalized Einstein manifolds, in: Proc. Winter School Geom. and Phys., Srní, Suppl. Rend. Circ. Mat. Palermo (2) 22 (1989), 49-58.
• [4] S. Formella and J. Mikesh, Geodesic mappings of Einstein manifolds, to appear.
• [5] E. Z. Gorbatyĭ and D. I. Rozenfeld, On geodesic mappings of Riemannian spaces onto conformally flat Riemannian spaces, Ukrain. Geom. Sb. 12 (1972), 115-124 (in Russian).
• [6] J. Mikesh, On geodesic mappings of Einstein spaces, Mat. Zametki 28 (1980), 935-938 (in Russian).
• [7] W. Roter, On generalization of conformally symmetric metrics, Tensor (N.S.) 46 (1987), 278-286.
• [8] J. A. Schouten, Ricci-Calculus, Springer, 1954.
• [9] N. S. Sinyukov, Geodesic Mappings of Riemannian Spaces, Nauka, Moscow 1979 (in Russian).
• [10] E. N. Sinyukova, Geodesic mappings of $L_2$ spaces, Izv. Vyssh. Ucheb. Zaved. Mat. 1982 (3), 57-61 (in Russian).
• [11] V. S. Sobchuk, On geodesic mappings of generalized Ricci symmetric Riemannian manifolds, preprint, Univ. Chernovtsy, 1981 (in Russian).
• [12] P. Venzi, Über konforme und geodätische Abbildungen, Resultate Math. 5 (1982), 184-198.