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On Semi-Invariant Submanifolds of a Generalized Kenmotsu Manifold Admitting a Semi-Symmetric Non-Metric Connection

Aysel Turgut Vanli
2015 Pure and Applied Mathematics Journal  
Morever, we studied the integrability condition of the distribution on semi-invariant submanifolds of generalized Kenmotsu manifold with semi-symmetric non-metric connection.  ...  In this paper, semi-invariant submanifolds of a generalized Kenmotsu manifold endowed with a semi-symmetric non-metric connection are studied.  ...  N ϕ Theorem 2.3 The connection induced on semi-invariant submanifolds of a generalized Kenmotsu manifold with semi-symmetric non-metric connection is also a semi-symmetric non-metric connection.  ... 
doi:10.11648/j.pamj.s.2015040102.14 fatcat:tngaho3pczeljftf2ovynetwya

A CLASSIFICATION OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

Dae Ho Jin, Jae Won Lee
2013 Bulletin of the Korean Mathematical Society  
In this paper, we study the geometry of half lightlike submanifolds M of a semi-Riemannian manifold M with a semi-symmetric non-metric connection subject to the conditions; (1) the characteristic vector  ...  field of M is tangent to M , the screen distribution on M is totally umbilical in M and the co-screen distribution on M is conformal Killing, or (2) the screen distribution is integrable and the local  ...  Semi-symmetric non-metric connection Let ( M , g) be a semi-Riemannian manifold.  ... 
doi:10.4134/bkms.2013.50.3.705 fatcat:2lpfdaentrhmnpto5jsv4onxuq

Einstein half lightlike submanifolds of a Lorentzian space form with a semi-symmetric non-metric connection

Dae Jin
2013 Journal of Inequalities and Applications  
We study screen conformal Einstein half lightlike submanifolds M of a Lorentzian space form M(c) of constant curvature c admitting a semi-symmetric non-metric connection subject to the conditions; (1)  ...  the structure vector field of M is tangent to M, and (2) the canonical normal vector field of M is conformal Killing.  ...  Semi-symmetric non-metric connection Let ( M, g) be a semi-Riemannian manifold.  ... 
doi:10.1186/1029-242x-2013-403 fatcat:u6kqpdf4q5erlmf7g72aaotzwi

ASCREEN LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN SPACE FORM WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

Dae Ho Jin
2014 Communications of the Korean Mathematical Society  
We study lightlike hypersurfaces of a semi-Riemannian space form M (c) admitting a semi-symmetric non-metric connection.  ...  Next, we prove a characterization theorem for such an ascreen lightlike hypersurface endow with a totally geodesic screen distribution.  ...  Semi-symmetric non-metric connection Let ( M , g) be a semi-Riemannian manifold.  ... 
doi:10.4134/ckms.2014.29.2.311 fatcat:ql4ae4kk4ffebm7vd6g3ji2wd4

On Semi-Invariant Submanifoldsof A Nearly Hyperbolic Kenmotsu Manifold With Semi-Symmetric Semi-Metric Connection

Mobin Ahmad, Shadab Ahmad Khan, Toukeer Khan
2014 IOSR Journal of Mathematics  
Weconsiders a nearly hyperbolic Kenmotsu manifold admitting a semi-symmetric semi-metric connection and study semi-invariant submanifolds of a nearly hyperbolic Kenmotsu manifold with semisymmetric semi-metric  ...  We also find the integrability conditions of some distributions on nearly hyperbolic Kenmotsu manifold and study parallel distributions (horizontal & vertical distributions) on nearly hyperbolic Kenmotsu  ...  In section 4, we discuss the integrability conditions of some distributions on nearly hyperbolic Kenmotsu manifold with a semi-symmetric semi-metric connection.  ... 
doi:10.9790/5728-10454550 fatcat:trixbn6konernpq756q3r26ala

EINSTEIN LIGHTLIKE HYPERSURFACES OF A LORENTZ SPACE FORM WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

Dae Ho Jin
2013 Bulletin of the Korean Mathematical Society  
We study Einstein lightlike hypersurfaces M of a Lorentzian space form M (c) admitting a semi-symmetric non-metric connection subject to the conditions; (1) M is screen conformal and (2) the structure  ...  vector field ζ of M belongs to the screen distribution S(T M ).  ...  Semi-symmetric non-metric connection Let ( M , g) be a semi-Riemannian manifold.  ... 
doi:10.4134/bkms.2013.50.4.1367 fatcat:2hjccxeoezcwtnvwnecur6j3ea

Generalised CR -submanifolds of an (, ) -trans-Sasakian manifold with certain connection

Mohd. Danish Siddiqi, Janardan P. Ojha, Mobin Ahmad
2014 IOSR Journal of Mathematics  
semi-symmetric non-metric connection.  ...  manifold M with semi-symmetric non-metric connection.  ...  Geometry of Leaves  ... 
doi:10.9790/5728-10270513 fatcat:b7vu5vttmfbopiv3necvzy66me

Riemannian Submersions with Quarter- Symmetric Non-Metric Connection

Hakan DEMİR, Ramazan SARI
2021 Journal of Engineering Technology and Applied Sciences  
We investigate O'Neill's tensor fields for quarter-symmetric non-metric connection and derive the covariant derivative of O'Neill's tensor fields.  ...  If = 0, therefore the connection ∇ is said to be symmetric, otherwise it is called non-symmetric.  ...  Moreover, the quarter symmetric connection reduces to a semi-symmetric connection. Because quarter symmetric connection generalizes the semi symmetric connection.  ... 
doi:10.30931/jetas.910481 fatcat:4pfgnjsk75efdozpyoprk5czri

LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

Jong Moon Shin
2015 East Asian Mathematical Journal  
We study the geometry of r-lightlike submanifolds M of a semi-Riemannian manifoldM with a semi-symmetric non-metric connection subject to the conditions; (a) the screen distribution of M is totally geodesic  ...  The main result is a classification theorem for irrotational r-lightlike submanifold of a semi-Riemannian manifold of index r admitting a semisymmetric non-metric connection.  ...  However, a general notion of lightlike submanifolds of an semi-Riemannian manifold with a semi-symmetric non-metric connection is relatively new one as yet.  ... 
doi:10.7858/eamj.2015.004 fatcat:rryyj733jff33od52gys3bbwdm

HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN SPACE FORM WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

Dae Ho Jin
2014 The Pure and Applied Mathematics  
In this paper, we study screen quasi-conformal irrotational half lightlike submanifolds M of a semi-Riemannian space form M (c) admitting a semi-symmetric non-metric connection, whose structure vector  ...  The main result is a classification theorem for such Einstein half lightlike submanifolds of a Lorentzian space form admitting a semi-symmetric non-metric connection.  ...  Jin [10] and Jin-Lee [11] studied general lightlike submanifolds and half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection.  ... 
doi:10.7468/jksmeb.2014.21.1.39 fatcat:t4myiof7ynd4xpdtkbdr3xf4v4

TWO CHARACTERIZATION THEOREMS FOR LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN SPACE FORM

Dae Ho Jin
2013 Honam Mathematical Journal  
We study lightlike hypersurfaces M of a semi-Riemannian space form M (c) with a semi-symmetric non-metric connection whose structure vector field is tangent to M .  ...  Semi-symmetric non-metric connection Let ( M , g) be a semi-Riemannian manifold.  ...  Let M be a lightlike hypersurface of a semi-Riemannian manifold M admitting a semi-symmetric non-metric connection.  ... 
doi:10.5831/hmj.2013.35.3.329 fatcat:d6gvsqzz4ve77gg7jskvzxmbea

Page 3493 of Mathematical Reviews Vol. , Issue 2000e [page]

2000 Mathematical Reviews  
) ¥ = g(X, Y)E + Xn(Y) + 2n(X )n(Y )é is called a semi-symmetric non-metric p-connection on M.  ...  admits a semi-symmetric non-metric p- connection whose Ricci tensor is skew-symmetric, then M cannot be Ricci-flat.  ... 

NON-TANGENTIAL HALF LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN MANIFOLDS WITH SEMI-SYMMETRIC NON-METRIC CONNECTIONS

Dae Ho Jin
2014 Journal of the Korean Mathematical Society  
In this paper, we construct two types of non-tangential half lightlike submanifolds of a semi-Riemannian manifold admitting a semisymmetric non-metric connection.  ...  Our main result is to prove several characterization theorems for each types of such half lightlike submanifolds equipped with totally geodesic screen distributions.  ...  Semi-symmetric non-metric connection Let (M ,ḡ) be a semi-Riemannian manifold.  ... 
doi:10.4134/jkms.2014.51.2.311 fatcat:uumwekxdrfc63byyarstzds6mi

LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

Ahmet Yucesan, Erol Yasar
2010 Bulletin of the Korean Mathematical Society  
In this paper, we study lightlike submanifolds of a semi-Riemannian manifold admitting a semi-symmetric non-metric connection.  ...  Then we give the conditions under which the Ricci tensor of a lightlike submanifold with a semi-symmetric non-metric connection is symmetric.  ...  The induced connection on a screen distribution of lightlike submanifold with a semi-symmetric non-metric connection is a semi-symmetric non-metric connection.  ... 
doi:10.4134/bkms.2010.47.5.1089 fatcat:5liihvxdizhovbnzrbgawa37ji

Lightlike Submanifolds of a Semi-Riemannian Product Manifold with Quarter Symmetric Non-Metric Connection

Oğuzhan BAHADIR, Erol KILIÇ
2016 International Electronic Journal of Geometry  
Finally, by considering the quarter-symmetric non-metric connection, we study lightlike submanifolds of a semi-Riemannian product manifold.  ...  We give some equivalent conditions for integrability of distributions with respect to the Levi-Civita connection of semi-Riemannian manifolds and the quarter-symmetric nonmetric connection, and we obtain  ...  The following assertions are equivalent: (i) The distribution L ′ is integrable with respect to quarter symmetric non-metric connection.  ... 
doi:10.36890/iejg.591880 fatcat:rmc35ymjeja73mttcsa5gadjie
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