Communications Faculty of Sciences University of Ankara. Series A1: mathematics and statistics, 1998
This paper studies the CR-submanifolds of a Kaehlerian manifold which have holomorphic vector fîe... more This paper studies the CR-submanifolds of a Kaehlerian manifold which have holomorphic vector fîelds on them. İt is shown that a CR-submanifold having holomorphic vector fîelds on it is a CR-product.
In this paper, we investigate some properties of invariant submanifolds of almost α-cosymplectic ... more In this paper, we investigate some properties of invariant submanifolds of almost α-cosymplectic f-manifolds. We show that every invariant submanifold of an almost α-cosymplectic f-manifold with Kaehlerian leaves is also an almost α-cosymplectic f-manifold with Kaehlerian leaves. Moreover, we give a theorem on minimal invariant submanifold and obtain a necessary condition on a invariant submanifold to be totally geodesic. Finally, we study some properties of the curvature tensors of M and M .
Communications in advanced mathematical sciences, Mar 25, 2020
In this paper, we have and study several properties of semi-invariant submanifolds of an almost α... more In this paper, we have and study several properties of semi-invariant submanifolds of an almost α-cosymplectic f-manifold. We give an example and investigate the integrability conditions for the distributions involved in the definition of a semi-invariant submanifold of an almost α-cosymplectic f-manifold.
In this paper, we study the geometry of position vectors of a spacelike curve in the Minkowski 4-... more In this paper, we study the geometry of position vectors of a spacelike curve in the Minkowski 4-space. We give some characterizations for spacelike curves to lie on some subspaces of R4 1.
In this paper, semi-invariant submanifolds of an almost α-cosymplectic f -manifold endowed with a... more In this paper, semi-invariant submanifolds of an almost α-cosymplectic f -manifold endowed with a semi-symmetric non-metric connection are studied. Necessary and sufficient conditions are given on a submanifold of an almost α-cosymplectic f -manifold to be semiinvariant submanifold with semi-symmetric non-metric connection. Moreover, we studied the intergrability condition of the distribution on semi-invariant submanifolds of an almost α-cosymplectic f -manifold with semi-symmetric non-metric connection.
In this paper, we study the position vectors of a spacelike curve in the Minkowski 4-space R 4 1.... more In this paper, we study the position vectors of a spacelike curve in the Minkowski 4-space R 4 1. We give some characterizations for spacelike curves which lie on some subspaces of R 4 1 .
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2019
In this paper by establishing the Frenet frame fT; N; B 1 ; B 2 g for a spacelike curve we give s... more In this paper by establishing the Frenet frame fT; N; B 1 ; B 2 g for a spacelike curve we give some characterizations for the spacelike inclined curves and B 2-slant helices in R 4 2 .
In this paper, we study the position vectors of a Cartan framed null curve in the Minkowski 4-spa... more In this paper, we study the position vectors of a Cartan framed null curve in the Minkowski 4-space . We give some
In this paper, we study the position vectors of a spacelike curve in the Minkowski 4-space<em&... more In this paper, we study the position vectors of a spacelike curve in the Minkowski 4-space<em>.</em> We give some characterizations for spacelike curves to lie on some subspaces and give some theorems for these curves. We give spacelike curves in terms of their curvature functions. By using these equations we give the position vectors of spacelike curves in terms of their curvature functions and in 4-dimensional Minkowski space.
Communications Faculty of Sciences University of Ankara. Series A1: mathematics and statistics, 1998
This paper studies the CR-submanifolds of a Kaehlerian manifold which have holomorphic vector fîe... more This paper studies the CR-submanifolds of a Kaehlerian manifold which have holomorphic vector fîelds on them. İt is shown that a CR-submanifold having holomorphic vector fîelds on it is a CR-product.
In this paper, we investigate some properties of invariant submanifolds of almost α-cosymplectic ... more In this paper, we investigate some properties of invariant submanifolds of almost α-cosymplectic f-manifolds. We show that every invariant submanifold of an almost α-cosymplectic f-manifold with Kaehlerian leaves is also an almost α-cosymplectic f-manifold with Kaehlerian leaves. Moreover, we give a theorem on minimal invariant submanifold and obtain a necessary condition on a invariant submanifold to be totally geodesic. Finally, we study some properties of the curvature tensors of M and M .
Communications in advanced mathematical sciences, Mar 25, 2020
In this paper, we have and study several properties of semi-invariant submanifolds of an almost α... more In this paper, we have and study several properties of semi-invariant submanifolds of an almost α-cosymplectic f-manifold. We give an example and investigate the integrability conditions for the distributions involved in the definition of a semi-invariant submanifold of an almost α-cosymplectic f-manifold.
In this paper, we study the geometry of position vectors of a spacelike curve in the Minkowski 4-... more In this paper, we study the geometry of position vectors of a spacelike curve in the Minkowski 4-space. We give some characterizations for spacelike curves to lie on some subspaces of R4 1.
In this paper, semi-invariant submanifolds of an almost α-cosymplectic f -manifold endowed with a... more In this paper, semi-invariant submanifolds of an almost α-cosymplectic f -manifold endowed with a semi-symmetric non-metric connection are studied. Necessary and sufficient conditions are given on a submanifold of an almost α-cosymplectic f -manifold to be semiinvariant submanifold with semi-symmetric non-metric connection. Moreover, we studied the intergrability condition of the distribution on semi-invariant submanifolds of an almost α-cosymplectic f -manifold with semi-symmetric non-metric connection.
In this paper, we study the position vectors of a spacelike curve in the Minkowski 4-space R 4 1.... more In this paper, we study the position vectors of a spacelike curve in the Minkowski 4-space R 4 1. We give some characterizations for spacelike curves which lie on some subspaces of R 4 1 .
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2019
In this paper by establishing the Frenet frame fT; N; B 1 ; B 2 g for a spacelike curve we give s... more In this paper by establishing the Frenet frame fT; N; B 1 ; B 2 g for a spacelike curve we give some characterizations for the spacelike inclined curves and B 2-slant helices in R 4 2 .
In this paper, we study the position vectors of a Cartan framed null curve in the Minkowski 4-spa... more In this paper, we study the position vectors of a Cartan framed null curve in the Minkowski 4-space . We give some
In this paper, we study the position vectors of a spacelike curve in the Minkowski 4-space<em&... more In this paper, we study the position vectors of a spacelike curve in the Minkowski 4-space<em>.</em> We give some characterizations for spacelike curves to lie on some subspaces and give some theorems for these curves. We give spacelike curves in terms of their curvature functions. By using these equations we give the position vectors of spacelike curves in terms of their curvature functions and in 4-dimensional Minkowski space.
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Papers by Ali Sivridag