Summary
We study m-dimensional real submanifolds of codimension p with (m − 1)- dimensional maximal holomorphic tangent subspace in a Kähler manifold. Consequently, on these manifolds there exists an almost contact structure (F, u,U, g) naturally induced from the ambient space. In this paper, we study a certain commutative condition on the almost contact structure and on the second fundamental form of these submanifolds.
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Dedicated to Professor Lieven Vanhecke
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Djorić, M. (2005). Commutative Condition on the Second Fundamental Form of CR-submanifolds of Maximal CR-dimension of a Kähler Manifold. In: Kowalski, O., Musso, E., Perrone, D. (eds) Complex, Contact and Symmetric Manifolds. Progress in Mathematics, vol 234. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4424-5_7
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DOI: https://doi.org/10.1007/0-8176-4424-5_7
Publisher Name: Birkhäuser Boston
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