Abstract
Let \(\bar M\) be a complex m-dimensional (real 2m-dimensional) Kaehlerian manifold with almost complex structure J and with Kaehlerian metric g. Let M be a real n-dimensional Riemannian manifold isometrically immersed in \(\bar M\). We denote by the same g the Riemannian metric tensor field induced on M from that of \(\bar M\). The operator of covariant differentiation in \(\bar M\) (resp. M) will be denoted by \(\bar \nabla \) (resp. ▽).
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© 1983 Birkhäuser Boston, Inc.
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Yano, K., Kon, M. (1983). CR Submanifolds. In: CR Submanifolds of Kaehlerian and Sasakian Manifolds. Progress in Mathematics, vol 30. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-9424-2_4
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DOI: https://doi.org/10.1007/978-1-4684-9424-2_4
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4684-9426-6
Online ISBN: 978-1-4684-9424-2
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