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Gauss and Ricci equations in contact manifolds with a quarter-symmetric metric connection. (English) Zbl 1329.53065

Summary: In the present paper, we study the extrinsic and intrinsic geometry of submanifolds of an almost contact metric manifold admitting a quarter-symmetric metric connection. We deduce Gauss, Codazzi and Ricci equations corresponding to the quarter-symmetric metric connection and show some applications of these equations. Finally, we give an example verifying the results.

MSC:

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C35 Differential geometry of symmetric spaces
53D10 Contact manifolds (general theory)
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