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SPARSIFYING PRECONDITIONER FOR PSEUDOSPECTRAL APPROXIMATIONS OF INDEFINITE SYSTEMS ON PERIODIC STRUCTURES
Helmholtz equation Schrodinger equation preconditioner pseudospectral approximation indefinite matrix periodic structure sparse linear algebra
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2015/7/14
This paper introduces the sparsifying preconditioner for the pseudospectral approximation of highly indefinite systems on periodic structures, which include the frequency-domain response problems of t...
Relative nullity foliations and lightlike hypersurfaces in indefinite Kenmotsu manifolds
η-Einstein lightlike hypersurfaces Indefinite Kenmotsu manifold Relative nullity foliation Screen distribution
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2011/4/6
This paper deals with the relative nullity distributions of lightlike hypersurfaces of indefinite Kenmotsu space forms, tangent to the structure vector field. Theorems on parallel vector fields are ob...
Slant lightlike submanifolds of indefinite Kenmotsu manifolds
Degenerate metric Slant lightlike submanifolds Kenmotsu manifold
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2011/4/6
In this paper, we introduce the notion of a slant lightlike submanifold of an indefinite Kenmotsu manifold. We provide a non-trivial example and obtain necessary and sufficient conditions for the exis...
A Geometric Representation of Improper Indefinite Affine Spheres with Singularities
Improper affine spheres Area distances Affine symmetry sets
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2011/1/20
We consider in this paper a class of improper indefinite affine spheres with singularities in R3 called indefinite improper affine maps.We propose a representation of surfaces in this class by a pair ...
Transversal lightlike submanifolds of indefinite sasakian manifolds
Indefinite Sasakian Manifold Lightlike Submanifold Radical Transversal Lightlike Submanifold Transversal Lightlike Submanifold
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2010/12/21
We study both radical transversal and transversal lightlike submanifolds of indefinite Sasakian manifolds. We give examples, investigate the geometry of distributions and obtain necessary and sufficie...
Minimal Lagrangian submanifolds in indefinite complex space
Lagrangian submanifolds complex space
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2010/11/22
Consider the complex linear space C^n endowed with the natural pseudo-Hermitian form <<.,.>>_p of signature p. This yields both a pseudo-Riemannian and a symplectic structure on C^n. We prove that th...
Generalized Inequalities for Indefinite Forms
Inequalities Holder Indefinite forms Reverse Inequalities Hö lder's Inequality Generalized inequalities
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2008/7/1
We establish abstract inequalities that give, as particular cases, many previously established Hölder-like inequalities. In addition to unifying the proofs of these inequalities, which, in most c...
On Chaotic Order of Indefinite Type
Chaotic order (Indefinite) Inner product space Furuta inequality of indefinite type
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2008/6/27
On Chaotic Order of Indefinite Type.
Killing and Geodesic Lightlike Hypersurfaces of Indefinite Sasakian Manifolds
Lightlike Hypersurfaces Indefinite Sasakian Screen Distribution
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2010/2/25
In this paper, we study a lightlike hypersurface of indefinite Sasakian manifold, tangent to the structure vector field x. Theorems on parallel and Killing distributions are obtained. Necessary and su...
On Non-Existence of Lightlike Hypersurfaces of Indefinite Kenmotsu Space Form
Lightlike hypersurface Kenmotsu space form
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2010/2/25
In this paper, lightlike hypersurfaces of indefinite Kenmotsu space form are studied. Some characterizations of non-existence of lightlike hypersurfaces of indefinite Kenmotsu space form are given.