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Quaternion Riemann spaces with transitive reductive or solvable groups of motions. (English. Russian original) Zbl 0238.53040
Funct. Anal. Appl. 4, 321-322 (1970); translation from Funkts. Anal. Prilozh. 4, No. 4, 68-69 (1970).

MSC:
53C55 Global differential geometry of Hermitian and Kählerian manifolds
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C20 Global Riemannian geometry, including pinching
15A66 Clifford algebras, spinors
15B33 Matrices over special rings (quaternions, finite fields, etc.)
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References:
[1] D. V. Alekseevskii, Funktsional. Analiz i Ego Prilozhen.,2, No. 2, 1-20 (1968). · Zbl 0174.45203 · doi:10.1007/BF01075356
[2] J. A. Wolf, J. Math. Mech.,14, No. 6, 1033-1047 (1965).
[3] É. B. Vinberg and S. G. Gindikin, Matem. Sb.,74, 357-377 (1967).
[4] M. F. Atiyah, R. Bott, and A. Shapiro, Topology,3, 3-38 (1965). · Zbl 0146.19001 · doi:10.1016/0040-9383(64)90003-5
[5] S. I. Goldberg, Proc. Amer. Math. Soc.,21, No. 1, 96-100 (1969). · doi:10.1090/S0002-9939-1969-0238238-1
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