Geodesic
Semi-Slant Submanifolds of an Almost Paracontact Metric Manifold
Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 206-217

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we define and study the geometry of semi-slant submanifolds of an almost paracontact metric manifold. We give some characterizations for a submanifold to be semi-slant submanifold to be semi-slant product and obtain integrability conditions for the distributions involved in the definition of a semi-slant submanifold.
DOI : 10.4153/CMB-2010-003-0
Mots-clés : 53C15, 53C25, 53C4, paracontact metric manifold, slant distribution, semi-slant submanifold, semi-slant product 
Atc̣eken, Mehmet. Semi-Slant Submanifolds of an Almost Paracontact Metric Manifold. Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 206-217. doi: 10.4153/CMB-2010-003-0
@article{10_4153_CMB_2010_003_0,
     author = {Atc̣eken, Mehmet},
     title = {Semi-Slant {Submanifolds} of an {Almost} {Paracontact} {Metric} {Manifold}},
     journal = {Canadian mathematical bulletin},
     pages = {206--217},
     year = {2010},
     volume = {53},
     number = {2},
     doi = {10.4153/CMB-2010-003-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-003-0/}
}
TY  - JOUR
AU  - Atc̣eken, Mehmet
TI  - Semi-Slant Submanifolds of an Almost Paracontact Metric Manifold
JO  - Canadian mathematical bulletin
PY  - 2010
SP  - 206
EP  - 217
VL  - 53
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-003-0/
DO  - 10.4153/CMB-2010-003-0
ID  - 10_4153_CMB_2010_003_0
ER  - 
%0 Journal Article
%A Atc̣eken, Mehmet
%T Semi-Slant Submanifolds of an Almost Paracontact Metric Manifold
%J Canadian mathematical bulletin
%D 2010
%P 206-217
%V 53
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-003-0/
%R 10.4153/CMB-2010-003-0
%F 10_4153_CMB_2010_003_0

[1] Bejancu, A. and Papaghiuc, N.: Semi-Invariant Submanifolds of a Sasakian Manifold. An. Stiint. Al.I. Cuza Univ. Iasi. 27(1981), 163–170. Google Scholar

[2] Cabrerizo, J.L., Carriazo, A., Fernandez, L.M. and Fernandez, M.: Slant Submanifolds in Sasakian Manifolds. Glasgow Math. J. 42(2000), 125–138. doi:10.1017/S0017089500010156 Google Scholar

[3] Cabrerizo, J.L., Carriazo, A., Fernandez, L.M. and Fernandez, M.: Semi-Slant Submanifolds of A Sasakian Manifold. Geometriae Dedicata 78:183–199, 1999. doi:10.1023/A:1005241320631 Google Scholar

[4] [4] Chen, B.-Y., Geometry of Slant Submanifolds. Katholieke Universiteit Leuven, Louvain, 1990. Google Scholar

[5] [5] Chen, B.-Y. and Tazawa, Y., Slant Submanifolds of Complex Projective and Complex Hyperbolic Spaces. Glasgow. Math.J. 42(2000), no. 3, 439–454. doi:10.1017/S0017089500030111 Google Scholar

[6] [6] Li, H. and Liu, X, Semi-slant submanifolds of a locally Riemannian product manifold. Georgian Math. J. 12(2005), 273–282. Google Scholar

[7] Lotto, A.: Slant Submanifolds in Contact Geometry. Bull. Math. Soc. Roumanie 39(1996), 183–198. Google Scholar

[8] Nikic, J.: Conditions For Invariant Submanifold of A Manifold with the (φ, ξ, η, G)-Structure. Kragujevac J. Math. 25(2003), 147–154. Google Scholar

[9] Papaghiuc, N.: Semi-Slant Submanifolds of A Kaehlerian Manifold. An. Stiint. Al.I. Cuza Univ. Iasi. 40(1994), 55–61. Google Scholar

Cité par Sources :