Open AccessTransversal lightlike submanifolds of indefinite sasakian manifolds
Author(s) -
Cumali Yıldırım,
BAYRAM ŞAHİN
Publication year - 2010
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-0904-10
Subject(s) - transversal (combinatorics) , connection (principal bundle) , mathematics , pure mathematics , metric connection , metric (unit) , mathematical analysis , geometry , curvature , engineering , ricci curvature , fundamental theorem of riemannian geometry , operations management
We study both radical transversal and transversal lightlike submanifolds of indefinite Sasakian manifolds. We give examples, investigate the geometry of distributions and obtain necessary and sufficient conditions for the induced connection on these submanifolds to be metric connection. We also study totally contact umbilical radical transversal and transversal lightlike submanifolds of indefinite Sasakian manifolds and obtain a classification theorem for totally contact umbilical transversal lightlike submanifolds.
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