B. Korkmaz, A curvature property of complex contact metric structure, Kyungpook Math. J. 38, 473-488, (1998).
B. Korkmaz, Normality of complex contact manifolds, Rocky Mountain J. Math., 30, 1343-1380, (2000).
Kobayashi, S., Principal fibre bundles with the1-dimensional toroidal group, Tohoku Math. J. 8, 29-45, (1956).
S. Kobayashi, Remarks on complex contact manifolds, Proc. Amer. Math. Soc.,10, 164-167, (1963).
S. Kobayashi, Topology of positively pinched Kaehler manifolds, Tohoku Math. J. 15, 121-139, (1963).
J.W. Gray, Some global properties of contact structures Ann. of. Math. Soc. vol.42, pp.257, (1967).
S. Sasaki, On differentiable manifolds with certain structures which are closely related to almost contact structure I, Tohoku Math. J.(2) vol.12, pp 459-476, (1960).
J. A. Wolf, Complex homogeneous contact manifolds and quaternionic symmetric spaces, J.Math. and Mech., 14, 1033-1047, (1965).
On G ̅-J anti-invariant submanifolds of almost complex contact metric manifolds
In this article we studied anti-invariant submanifolds
of almost complex contact metric manifolds. We found a relation between
Nijenhuis tensor fields of anti-invariant submanifolds and almost complex
contact manifolds. We investigated relations between curvature tensors of these
manifolds. Moreover, we studied anti-invariant submanifolds of almost complex
contact metric manifolds.Some necessary conditions on which a submanifolds of
an almost complex contact metric manifolds is -anti-invariant were given. Also we
found some characterizations for totally geodesic or umbilical -anti-invariant submanifolds of
almost complex contact metric manifolds.
B. Korkmaz, A curvature property of complex contact metric structure, Kyungpook Math. J. 38, 473-488, (1998).
B. Korkmaz, Normality of complex contact manifolds, Rocky Mountain J. Math., 30, 1343-1380, (2000).
Kobayashi, S., Principal fibre bundles with the1-dimensional toroidal group, Tohoku Math. J. 8, 29-45, (1956).
S. Kobayashi, Remarks on complex contact manifolds, Proc. Amer. Math. Soc.,10, 164-167, (1963).
S. Kobayashi, Topology of positively pinched Kaehler manifolds, Tohoku Math. J. 15, 121-139, (1963).
J.W. Gray, Some global properties of contact structures Ann. of. Math. Soc. vol.42, pp.257, (1967).
S. Sasaki, On differentiable manifolds with certain structures which are closely related to almost contact structure I, Tohoku Math. J.(2) vol.12, pp 459-476, (1960).
J. A. Wolf, Complex homogeneous contact manifolds and quaternionic symmetric spaces, J.Math. and Mech., 14, 1033-1047, (1965).
Yildirim, C., & Erdogan, F. E. (2016). On G ̅-J anti-invariant submanifolds of almost complex contact metric manifolds. New Trends in Mathematical Sciences, 4(3), 277-289.
AMA
Yildirim C, Erdogan FE. On G ̅-J anti-invariant submanifolds of almost complex contact metric manifolds. New Trends in Mathematical Sciences. Eylül 2016;4(3):277-289.
Chicago
Yildirim, Cumali, ve Feyza Esra Erdogan. “On G ̅-J Anti-Invariant Submanifolds of Almost Complex Contact Metric Manifolds”. New Trends in Mathematical Sciences 4, sy. 3 (Eylül 2016): 277-89.
EndNote
Yildirim C, Erdogan FE (01 Eylül 2016) On G ̅-J anti-invariant submanifolds of almost complex contact metric manifolds. New Trends in Mathematical Sciences 4 3 277–289.
IEEE
C. Yildirim ve F. E. Erdogan, “On G ̅-J anti-invariant submanifolds of almost complex contact metric manifolds”, New Trends in Mathematical Sciences, c. 4, sy. 3, ss. 277–289, 2016.
ISNAD
Yildirim, Cumali - Erdogan, Feyza Esra. “On G ̅-J Anti-Invariant Submanifolds of Almost Complex Contact Metric Manifolds”. New Trends in Mathematical Sciences 4/3 (Eylül 2016), 277-289.
JAMA
Yildirim C, Erdogan FE. On G ̅-J anti-invariant submanifolds of almost complex contact metric manifolds. New Trends in Mathematical Sciences. 2016;4:277–289.
MLA
Yildirim, Cumali ve Feyza Esra Erdogan. “On G ̅-J Anti-Invariant Submanifolds of Almost Complex Contact Metric Manifolds”. New Trends in Mathematical Sciences, c. 4, sy. 3, 2016, ss. 277-89.
Vancouver
Yildirim C, Erdogan FE. On G ̅-J anti-invariant submanifolds of almost complex contact metric manifolds. New Trends in Mathematical Sciences. 2016;4(3):277-89.