Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1174.53324
Sahin, Bayram
Transversal lightlike submanifolds of indefinite Kähler manifolds. (Transversal lightlike submanifolds of indefinite Kaehler manifolds.) (English)
[J] An. Univ. Vest Timiş., Ser. Mat.-Inform. 44, No. 1, 119-145 (2006); erratum ibid. 49, No. 1, 165, (2011). ISSN 1841-3293

Summary: We introduce semi-transversal, transversal and radical transversal lightlike submanifolds of indefinite Kähler manifolds. We observe that such lightlike submanifolds are different from CR-lightlike, screen CR and generalized CR-lightlike submanifolds. We study the existence (or non-existence) of such lightlike submanifolds in an indefinite space form. Then, we prove characterization theorems on the existence of semi-transversal lightlike submanifolds. We also give examples for semi-transversal, transversal, radical transversal, totally umbilical semi-transversal and minimal semi-transversal lightlike submanifolds of indefinite Kähler manifolds.

MSC 2000:: *53C40 Submanifolds (differential geometry)
53C42 Immersions (differential geometry)
53C50 Lorentz manifolds, manifolds with indefinite metrics

Keywords: Kähler manifold; transversal lightlike submanifold; degenerate metric

Cited in: Zbl pre06150081

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]