Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

# Advanced Search

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 0847.53012
Papaghiuc, Neculai
Semi-slant submanifolds of a Kaehlerian manifold.
(English)
[J] An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nouă, Mat. 40, No.1, 55-61 (1994). ISSN 1221-8421; ISSN 0041-9109/e

The author defines a semi-slant submanifold $M$ of a Kählerian manifold to be a submanifold whose tangent bundle is the direct sum of a complex distribution and a slant distribution with the slant angle $\theta \ne 0$ in the sense of [the reviewer, Geometry of slant submanifolds. Leuven: Kath. Univ. Leuven, Dept. of Mathematics. 123 p. (1990; Zbl 0716.53006)]. The author obtains the necessary and sufficient conditions for the complex and slant distributions to be integrable. He also obtains a necessary and sufficient condition for a semi-slant submanifold to be the Riemannian product of a complex submanifold and a slant submanifold.
[B.-Y.Chen (East Lansing)]
MSC 2000:
*53B25 Local submanifolds
53B35 Complex differential geometry (local)
53C40 Submanifolds (differential geometry)

Keywords: Kähler manifold; integrability; slant submanifold; semi-slant submanifold

Citations: Zbl 0716.53006

Cited in: Zbl 1253.53060 Zbl 1168.53313

Login Username: Password:

Highlights
Master Server

### Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences
Published by Springer-Verlag | Webmaster