Geodesic
Structure Connection in an Almost Contact Metric Manifold
Publications de l'Institut Mathématique, _N_S_28 (1980) no. 42, p. 195

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In 1970, semisymetric connection were studied by Yano [1] in a Riemannian manifold and in 1972 Mishra [2] studied affine connection in an almost contact Riemannian manifold. In the present paper we have defined a structure connnection in a Riemannian manifold and studied its properties in an almost contact metric manifold. It is seen that structure connection play fundamental role in an almost contact metric manifold. 
@article{PIM_1980_N_S_28_42_a24,
     author = {B. B. Sinha and S.L. Yadava},
     title = {Structure {Connection} in an {Almost} {Contact} {Metric} {Manifold}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {195 },
     publisher = {mathdoc},
     volume = {_N_S_28},
     number = {42},
     year = {1980},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1980_N_S_28_42_a24/}
}
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B. B. Sinha; S.L. Yadava. Structure Connection in an Almost Contact Metric Manifold. Publications de l'Institut Mathématique, _N_S_28 (1980) no. 42, p. 195 . http://geodesic.mathdoc.fr/item/PIM_1980_N_S_28_42_a24/