Semi-slant lightlike submanifolds of indefinite Kaehler manifolds

S. S. Shukla ^[1] ; A. Yadav ^[1]
1. [1] University of Allahabad
  
  University of Allahabad
  
  India
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 56, Nº. 2, 2015, págs. 21-37
Idioma: inglés
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Resumen
- We introduce the notion of semi-slant lightlike submanifolds of indefinite Kaehler manifolds giving a characterization theorem with some nontrivial examples of such submanifolds. Integrability conditions of distributions D1, D2 and Rad TM on semi-slant lightlike submanifolds of indefinite Kaehler manifolds have been obtained. We also obtain necessary and sufficient conditions for foliations determined by the above distributions to be totally geodesic.