Document Zbl 0263.53028

The contact structures on \(\{SU(n + 1) \times R/SU(n) \times R\}_\alpha\) and \(\{Sp(n) \times SU(2)/Sp(n - 1) \times SU(2)\}_\alpha\) of Berger. (English) Zbl 0263.53028

Tohoku Math. J., II. Ser. 25, 145-155 (1973).

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MSC:

53C15	General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C30	Differential geometry of homogeneous manifolds

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References:

[1]	M. BERGER, Les varietes riemanniennes homogenes normales simplement connexes a courbure strictment positive. Ann. Scula Norm. Sup. Pisa, 15 (1961), 179-246. · Zbl 0101.14201
[2]	I. CHAVEL, A class of Riemannian homogeneous spaces. J. Differential Geometry., (1970), 13-20. · Zbl 0197.18302
[3]	K. NOMIZU, Invariant affine connections on homogeneous spaces. Amer. J. Math., 7 (1954), 33-65. f 4 ] S. SASAKI, Almost contact manifolds.Lecture note, Thoku Univ. (1965). JSTOR: · Zbl 0059.15805 · doi:10.2307/2372398
[4]	S. TANNO, The automorphism groups of almost contact Riemannian manifolds. Thok Math. J., 21 (1969), 21-38. · Zbl 0188.26705 · doi:10.2748/tmj/1178243031
[5]	S. TANNO, Killing vectors on contact Riemannian manifolds and fiberings related to th Hopf fibration. Thoku Math. J., 23 (1971), 313-333. · Zbl 0232.53026 · doi:10.2748/tmj/1178242648
[6]	N. STEENROD, The topology of fiber bundles. Princeton Univ. Press (1951) · Zbl 0054.07103

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