1 |
C. L. Bejan and K. L. Duggal, Global lightlike manifolds and harmonicity, Kodai Math. J. 28 (2005), no. 1, 131-145.
|
2 |
B. Y. Chen, Some pinching and classification theorems for minimal submanifolds, Arch. Math. (Basel) 60 (1993), no. 6, 568-578.
DOI
|
3 |
B. Y. Chen, Mean curvature and shape operator of isometric immersion in real space forms, Glasgow Mathematic Journal 38 (1996), no. 1, 87-97.
DOI
|
4 |
B. Y. Chen, Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimension, Glasgow Mathematic Journal 41 (1999), no. 1, 33-41.
DOI
|
5 |
P. J. De Smet, F. Dillen, L. Verstraelen and L. Vrancken, A pointwise inequality in submanifold theory, Arch. Math. (Brno) 35 (1999), no. 2, 115-128.
|
6 |
M. Gulbahar, E. Kilic, and S. Keles, Chen-like inequalities on lightlike hypersurfaces of a Lorentzian manifold, J. Inequal. Appl. (2013), Article number: 266 (2013).
|
7 |
U. C. De and D. Kamilya, Hypersurfaces of a Riemannian manifold with semisymmetric non-metric connection, J. Indian Inst. Sci. 75 (1995), no. 6, 707-710.
|
8 |
K. L. Duggal and A. Bejancu, Lightlike Submanifold of Semi-Riemannian Manifolds and Applications, Kluwer Academic Publisher, 1996.
|
9 |
K. L. Duggal and R. Sharma, Semi-symmetric metric connections in a semi-Riemannian manifold, Indian J. Pure Appl. Math. 17 (1986), 1276-1282.
|
10 |
M. Gulbahar, E. Kilic, and S. Keles, Some inequalities on screen homothetic lightlike hypersurfaces of a Lorentzian manifold, Taiwanese Journal of Mathematics 17 (2013), no. 6, 2083-2100.
|
11 |
J. K. Beem, P. E. Ehrlich, and K. L. Easley, Global Lorentzian Geometry, 2nd Edition, Marcel Dekker Inc., New York, 1996.
|
12 |
M. M. Tripathi, Certain Basic Inequalities for Submanifolds in (κ, µ) Space, Recent Advances in Riemannian and Lorentzian Geometries 337 (2003), 187.
DOI
|
13 |
Z. Liang and Z. Pan, Notes on Chen's inequalities for submanifolds of real space forms with a semi-symmetric non-metric connection, Journal of East China Normal University (Natural Science), 2015 (2015), no. 1, 6-15.
|
14 |
N. S. Agashe and M. R. Chafle, A semi-symmetric non-metric connection on a Riemannian manifold, Indian J. Pure Appl. Math. 23 (1992), no. 6, 399-409.
|
15 |
N. S. Agashe and M. R. Chafle, On submanifolds of a Riemannian manifold with a semi-symmetric non-metric connection, Tensor 55 (1994), no. 2, 120-130.
|
16 |
C. Atindogbe and Duggal K. L., Conformal screen on lightlike hypersurfaces, Int. J. Pure Appl. Math. 11 (2004), no. 4, 421-442.
|
17 |
B. Y. Chen, A Riemannian invariant for submanifolds in space forms and its applications, Geometry and Topology of Submanifolds 6 (1994), no. 6, 58-81.
|
18 |
B. Y. Chen, Ricci curvature of real hypersurfaces in complex hyperbolic space, Arch. Math. (Brno) 38 (2002), no. 1, 73-80.
|
19 |
K. L. Duggal, On scalar curvature in lightlike geometry, J. Geom. Phys. 57 (2007), 473-481.
DOI
|
20 |
K. L. Duggal and B. S,ahin, Differential Geometry of Lightlike Submanifolds, Birkhauser Verlag AG., 2010.
|
21 |
H. A. Hayden, Subspaces of a space with torsion, Proc. London Math. Soc. 34 (1932), 27-50.
DOI
|
22 |
S. Hong, K. Matsumoto, and M. M. Tripathi, Certain basic inequalities for submanifolds of locally conformal Kaehler space forms, SUT J. Math. 41 (2005), no. 1, 75-94.
|
23 |
Z. Nakao, Submanifolds of a Riemannian manifold with semisymmetric metric connections. Proc. Amer. Math. Soc. 54 (1976), 261-266.
DOI
|
24 |
E. Kilic and M. Gulbahar, On the sectional curvature of lightlike submanifolds, Journal of Inequalities and Applications 2016 (2016), no. 1, 1-16.
|
25 |
E. Kilic and M. Gulbahar, Ideality of a Coisotropic Lightlike Submanifold, International Electronic Journal of Geometry 9 (2016), no. 1, 89-99.
DOI
|
26 |
A. Mihai and B. Y. Chen, Inequalities for slant submanifolds in generalized complex space forms, Rad. Mat. 12 (2004), no. 2, 215-231.
|
27 |
C. Ozgur and A. Mihai, Chen inequalities for submanifolds of real space forms with a semi-symmetric non-metric connection, Canadian Mathematical Bulletin 55 (2012), no. 3, 611-622.
DOI
|
28 |
N. (Onen) Poyraz, B. Dogan, and E. Yasar, Chen Inequalities on Lightlike Hypersurface of a Lorentzian manifold with semi-symmetric metric connection, International Electronic Journal of Geometry 10 (2017), no. 1, 1-14.
DOI
|
29 |
M. M. Tripathi, Chen-Ricci inequality for curvature like tensor and its applications, Diff. Geom. Appl. 29 (2011), no. 5, 685-692.
DOI
|
30 |
K. Yano, On semi-symmetric metric connection, Rev. Roumaine Math. Pures Appl. 15 (1970), 1579-1586.
|
31 |
E. Yasar, A. C. Coken, and A. Yucesan, Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection, Mathematica Scandinavica 102 (2008), no. 2, 253-264.
DOI
|