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A class of almost contact Riemannian manifolds. (English) Zbl 0245.53040

##### MSC:
 53C15 Differential geometric structures on manifolds 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
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##### References:
 [1] R. L. BISHOP-B. 0’ NEILL, Manifolds of negative curvature, Trans. Amer. Math. Soc, 145 (1969).1-50. · Zbl 0191.52002 · doi:10.2307/1995057 [2] D. E. BLAIR, The theory of quasi-Sasakian structure, J. D. Geo., 1 (1967), 331-345 · Zbl 0163.43903 [3] S. S. EUM, On Kaehlerian hypersurfaces in almost contact metric spaces, Tensor, N. S., 20 (1969), 37-44. · Zbl 0174.53501 [4] S. KOBAYASHI AND K. NOMIZU, Foundations of differential geometry, volume 1, 1963, Interscience Publ.. · Zbl 0119.37502 [5] K. NOMIZU AND B. SMYTH, The differential geometry of complex hypersurfaces II, J. Math. Soc. Japan, 20 (1968), 498-521. · Zbl 0181.50103 · doi:10.2969/jmsj/02030498 [6] K. OGIUE, On almost contact manifolds admitting axiom of planes or axiom of fre mobility, Kdai Math. Sem. Rep., 16 (1964), 223-232. · Zbl 0136.18003 · doi:10.2996/kmj/1138844949 [7] M. OKUMURA, Some remarks on space with a certain contact structure, Thoku Math J., 14 (1962), 135-145. · Zbl 0119.37701 · doi:10.2748/tmj/1178244168 [8] S. TANNO, Almost complex structures in bundle spaces over almost contact manifolds, J. Math. Soc. Japan, 17 (1965), 167-186. · Zbl 0132.16801 · doi:10.2969/jmsj/01720167 [9] 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