A note on doubly warped product contact C R-submanifolds in trans-Sasakian manifolds |
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| Authors: | M -I Munteanu |
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| Institution: | (1) Faculty of Mathematics, University ‘Al. I. Cuza’ of Iaşi, Bd. Carol I, no. 11, 700506 Iaşi, Romania;(2) Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3001 Leuven (Heverlee), Belgium |
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| Abstract: | Warped product C R-submanifolds in Kählerian manifolds were intensively studied only since 2001 after the impulse given by B. Y. Chen in 3], 4]. Immediately after, another line of research, similar to that concerning Sasakian geometry as the odd dimensional version of Kählerian geometry, was developed, namely warped product contact C R-submanifolds in Sasakian manifolds (cf. 7], 8]). In this note we prove that there exists no proper doubly warped product contact C R-submanifolds in trans-Sasakian manifolds. |
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| Keywords: | trans-Sasakian manifolds Sasakian manifolds Kenmotsu manifolds doubly warped product contact CR-submanifolds |
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