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Some Curvature Tensors on a Trans-Sasakian Manifold
Trans-Sasakian projectively flat concircularly flat
2010/2/26
The object of the present paper is to study the geometry of trans-Sasakian manifold when it is projectively semi-symmetric, Weyl semi-symmetric and concircularly semi-symmetric.
Lp Solutions of Vector Refinement Equations with General Dilation Matrix
Lp Solutions Vector Refinement Equations General Dilation Matrix
2018/4/20
The purpose of this paper is to investigate the solutions of refinement equations of the form'(x) = X®2Zs a(®)'(Mx ¡ ®); x 2 Rs; where the vector of functions ' = ('1; :::; 'r)T is...
New Special Curves and Developable Surfaces
Helix Darboux vector developable surfaces singularities
2010/2/26
We define new special curves in Euclidean 3-space which we call slant helices and conical geodesic curves. Those notions are generalizations of the notion of cylindrical helices. One of the results in...
Applications of the Tachibana Operator on Problems of Lifts
Tensor bundle affinor complete lift pure cross-section Tachibana operator
2010/3/1
The purpose of the present paper is to study, using the Tachibana operator, the complete lifts of affinor structures along a pure cross-section of the tensor bundle and to investigate their transfers....
We introduce the notion of modular symmetry classes of tensors and give a necessary and sufficient condition for a modular symmetry class of tensors associated with the full symmetric group to be non-...
For a locally compact group G, let S(G) be a symmetric Segal algebra. We prove that S(G) is an ideal in its second dual space if and only if G is compact, where the second dual is equipped with an Are...
The main purpose of the present paper is to study geodesics in a tensor bundle Tpq(Mn) with respect to the horizontal lift H\nabla of an affine connection \nabla .
Extension and Separation of Vector Valued Functions
Vector Valued Functions paracompact Hausdorff space
2010/3/5
It is proved that: If X is a paracompact Hausdorff space and E is a Frechet lattice then (X, E) has the separation property. This is employed to extend some varies of functions that are known for spac...
On the Theory of a Certain Class of Quadratic Pencils of Matrices and Its Applications
Quadratic pencils eigenvalues eigenvectors
2010/3/5
This paper is devoted to the study of the properties of eigenvalues and eigenvectors of quadratic pencil l2C - lR - J , where C is a positive diagonal matrix, R is an arbitrary real diagonal matrix, J...
ON CONFORMALLY FLAT LORENTZIAN SPACES SATISFYING A CERTAIN CONDITION ON THE CURVATURE TENSOR
CONFORMALLY FLAT LORENTZIAN SPACES CURVATURE TENSOR
2010/3/17
In this paper we prove a local classification theorem for the conformally flat lorentzian spaces satisfying the condition R(X,Y)R=0.