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Geodesic Ricci mappings of two-symmetric Riemann spaces. (English) Zbl 0454.53013

MSC:
53B20 Local Riemannian geometry
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C35 Differential geometry of symmetric spaces
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[1] N. S. Sinyukov, ?Geodesic mappings of Riemann spaces onto symmetric spaces,? Dokl. Akad. Nauk SSSR,98, 21-23 (1954).
[2] N. S. Sinyukov, ?Geodesic mappings of Riemann spaces,? Tr. III Vse. Mat. S’ezda,1, 167-168 (1956).
[3] I. Mikesh, ?Geodesic mappings of semisymmetric Riemann spaces,? Dep. VINITI, 3924 (1976).
[4] Sumimoto Takeshi, ?Projective and conformal transformations in compact Riemmanian manifolds,? Tensor,9, No. 2, 113-135 (1959). · Zbl 0090.38302
[5] T. Nagano, ?The projective transformation on a space with parallel Ricci tensor,? K?dai Math. Sem. Reports,11, No. 3, 131-138 (1959). · Zbl 0097.37503
[6] Akbar-Zadeh Hassan and R. Couty, ?Espaces à tenseur de Ricci Parallèle admettant des transformations projectives,? C.R. Acad. Sci.,284, No. 15, A891-A893 (1977). · Zbl 0345.53027
[7] N. S. Sinyukov, ?Equidistant Riemann spaces,? Nauch. Ezhgodnik Odessk. Univ., 133-135 (1957).
[8] N. S. Sinyukov, ?An invariant transformation of Riemann spaces with common geodesics,? Dokl. Akad. Nauk SSSR,137, No. 6, 1312-1314 (1961). · Zbl 0106.15003
[9] N. S. Sinyukov, ?The theory of geodesic mappings of Riemann spaces,? Dokl. Akad. Nauk SSSR,169, No. 4, 770-772 (1966). · Zbl 0148.42301
[10] V. F. Kagan, Subprojective Spaces [in Russian], Nauka, Moscow (1961).
[11] R. Deszcz, ?On some Riemannian manifolds admitting a concircular vector field,? Demon-str. Math.,9, No. 3, 487-495 (1976). · Zbl 0346.53009
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