Abstract
In the 1996 book [149] there is a brief discussion on Cauchy-Riemann(CR) lightlike submanifolds of an indefinite Kähler manifold. Contrary to the non-degenerate case [45, 133 373], CR-lightlike submanifolds are non-trivial (i.e., they do not include invariant (complex) and real parts). Since then considerable work has been done on new concepts to obtain a variety of classes of lightlike submanifolds. In this chapter we present up-to-date new results on all possible (complex, screen real and totally real) lightlike submanifolds of an indefinite Kähler manifold.
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© 2010 Birkhäuser Verlag AG
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(2010). Submanifolds of indefinite Kähler manifolds. In: Differential Geometry of Lightlike Submanifolds. Frontiers in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0251-8_6
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DOI: https://doi.org/10.1007/978-3-0346-0251-8_6
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0250-1
Online ISBN: 978-3-0346-0251-8
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