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Two remarks on contact metric structures. (English) Zbl 0376.53021

##### MSC:
 53C15 Differential geometric structures on manifolds
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##### References:
 [1] D. E. BLAIR, On the non-existence of flat contact metric structures, Thoku Math. J. 28 (1976), 357-363. · Zbl 0364.53013 · doi:10.2748/tmj/1178240777 [2] P. DOMBROWSKI, On the geometry of the tangent bundle, J. reine und angew. Math., 210 (1962), 73-88. · Zbl 0105.16002 · doi:10.1515/crll.1962.210.73 · crelle:GDZPPN002179695 · eudml:150533 [3] Y., HATAKEYAMA, Y. OGAWA AND S. TANNO, Some properties of manifolds with contac metric structures, Thoku Math. J., 15 (1963), 42-48. · Zbl 0196.54902 · doi:10.2748/tmj/1178243868 [4] S. SASAKI, On the differential geometry of tangent bundles of Riemannian manifolds, Thoku Math. J., 10 (1958), 338-354. · Zbl 0086.15003 · doi:10.2748/tmj/1178244668 [5] S. TACHIBANA, AND M. OKUMURA, On the almost complex structure of tangent bundle of Riemannian spaces, Thoku Math. J., 14 (1962), 156-161. · Zbl 0114.38003 · doi:10.2748/tmj/1178244170 [6] Y. TASHIRO, On contact structures of tangent sphere bundles, Thoku Math. J., 2 (1969), 117-143. · Zbl 0182.55501 · doi:10.2748/tmj/1178243040 [7] K. YANO AND S. ISHIHARA, Tangent and Cotangent Bundles, Marcel Dekker, New York, 1973. · Zbl 0262.53024