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A note on doubly warped product contact C R-submanifolds in trans-Sasakian manifolds

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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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Authors and Affiliations

  1. Faculty of Mathematics, University ‘Al. I. Cuza’ of Iaşi, Bd. Carol I, no. 11, 700506, Iaşi, Romania

    M. -I. Munteanu

  2. Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3001, Leuven (Heverlee), Belgium

    M. -I. Munteanu

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  1. M. -I. Munteanu
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Additional information

The author was a beneficiary of a Research Fellowship of the Ministerie van de Vlaamse Gemeenschap, ref. 13DA-IZ/JDW/ROE/2004-2005/04-2439 at the Katholieke Universiteit Leuven, Belgium.

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Munteanu, M.I. A note on doubly warped product contact C R-submanifolds in trans-Sasakian manifolds. Acta Math Hung 116, 121–126 (2007). https://doi.org/10.1007/s10474-007-6013-x

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  • DOI: https://doi.org/10.1007/s10474-007-6013-x

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