This is a preview of subscription content, log in via an institution to check access.
Literature cited
J. Wolf and A. Gray, “Homogeneous spaces defined by Lie group automorphisms,” J. Differential Geometry,2, 77–159 (1968).
S. Sawaki and Y. Yamanoue, “On a six-dimensional K-space,” Sci. Rep. Nügata Univ., Ser. A,13, 13–17 (1976).
V. F. Kirichenko, “K-Spaces of constant holomorphic sectional curvature,” Mat. Zametki,19, No. 5, 803–814 (1976).
V. F. Kirichenko, “K-Spaces of maximal rank,” Mat. Zametki,22, No. 4, 465–476 (1977).
V. F. Kirichenko, K-Algebras and Their Role in the Geometry of K-Spaces [in Russian], Deposited in the All-Union Institute of Scientific and Technical Information (VINITI), No. 4521-77.
K. Nomizu, “Invariant affine connections on homogeneous spaces,” Am. J. Math.,76, No. 1, 33–65 (1954).
A. A. Sagle, “On anticommutative algebras and homogeneous spaces,” J. Math. Mech.,16, No. 12, 1381–1393 (1967).
S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York (1962).
M. A. Naimark, Theory of Representations of Groups [in Russian], Nauka, Moscow (1976).
A. Borel and F. Hirzebruch, “Characteristic classes and homogeneous spaces. I,” Am. J. Math.,80, 458–537 (1958).
A. Gray, “Vector cross products on manifolds,” Trans. Am. Math. Soc.,141, No. 7, 465–504 (1969).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 30, No. 4, pp. 569–582, October, 1981.
Rights and permissions
About this article
Cite this article
Kirichenko, V.F. Geometry of homogeneous K-spaces. Mathematical Notes of the Academy of Sciences of the USSR 30, 779–785 (1981). https://doi.org/10.1007/BF01137808
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01137808