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CYCLES WITH LOCAL COEFFICIENTS FOR ORTHOGONAL GROUPS AND VECTOR-VALUED SIEGEL MODULAR FORMS
CYCLES WITH LOCAL COEFFICIENTS ORTHOGONAL GROUPS VECTOR-VALUED SIEGEL MODULAR FORMS
2015/10/14
The purpose of this paper is to generalize the relation between intersection numbers of cycles in locally symmetric spaces of orthogonal type and Fourier coefficients of Siegel modular forms to the ca...
A note on proper affine vector fields in Bianchi type IV space-times
Affine vector fields holonomy and decomposability
2010/9/21
Affine vector fields of Bianchi type IV space-times are investigated using holonomy and decomposability, the rank of the 6× 6 Riemann matrix and direct integration technique. From the above study it f...
Norm bounds for a transformed price vector in Sraffian systems
Norm bounds price vector Sraffian standard commodity
2010/9/20
This paper gives lower and upper bounds, which are expressed in terms of the ‘maximum column sum matrix norm’, for the largest and the smallest element of a transformed price vector in Sraffian system...
Weighted composition operators on weighted vector-valued Bergman spaces
weighted composition operator vector-valued Bergman spaces
2010/9/26
In this paper we first introduce weighted vector-valued Bergman spaces ,
Λ of the upper half-plane. We then discuss their basic propertie...
Further study on the Levitin-Polyak well-posedness for vector equilibrium problems
Vector equilibrium problems Levitin-Polyak well-posedness
2010/9/26
In this paper, we study Levitin-Polyak well-posedness for vector equilibrium problems with functional constraints. Two sufficient conditions of (generalized) Levitin-Polyak well-posedness are derived ...
Noncommutative Positivstellensätze for pairs representation-vector
Noncommutative Positivstellensä tze pairs representation-vector
2010/11/24
We study non-commutative real algebraic geometry for a unital associative *-algebra A viewing the points as pairs ({\pi},v) where {\pi} is an unbounded *-representation of A on an inner product space...
Vector spaces of skew-symmetric matrices of constant rank
Vector spaces skew-symmetric matrices
2010/11/22
We study the orbits of vector spaces of skew-symmetric matrices of constant rank 2r and type (N+1)x(N+1) under the natural action of SL(N+1), over an algebraically closed field of characteristic zero...
We derive formulas for the cd-index and the toric h-vector of a convex polytope P from a sweeping by a hyperplane. These arise from interpreting the corresponding S-shelling of the dual of P. We desc...
Shadowing, expansiveness and stability of divergence-free vector fields
divergence-free vector fields math
2010/11/22
Let X be a divergence-free vector field defined on a closed, connected Riemannian manifold. In this paper, we show the equivalence between the following conditions:
1. X is in the C1-interior of th...
Classification of spatially homogeneous rotating space-times according to their conformal vector fields
Direct integration technique Conformal vector field
2010/9/13
Direct integration technique is used to study non conformally flat spatially homogeneous rotating space-times according to their conformal vector fields. It is shown that the above space-times do not ...
Simple integral representation for bounded operators in topological vector spaces
Bounded Operators Weak integrals Riesz Theorem
2010/9/13
We prove that bounded operators of this class preserve the familiar operations of distribution theory, that is, the operations of derivation and Fourier transform. Also we give an application to weak ...
Proper homothetic vector fields in Bianchi Type-I Space-Time
proper homothetic vector fields direct integration technique
2009/3/2
A study of proper homothetic vector field in Bianchi type-
1 space-times is given by using direct integration technique. Using the
above mentioned technique we show that the above space-times admit
...
Some properties of distinguished vector fields on Riemannian manifolds
vector fields Riemannian pseudo-Riemannian manifolds
2009/2/7
The vector fields play an important role in Riemannian (or pseudo-Riemannian)
manifolds. In literature it is known the concept of covariant cohomology oper-
ator r‹, where r means the Levi-Civi...
Some properties of distinguished vector fields on Riemannian manifolds
vector fields Riemannian and pseudo-Riemannian manifolds
2009/1/12
The vector fields play an important role in Riemannian (or pseudo-Riemannian)
manifolds. In literature it is known the concept of covariant cohomology oper-
ator r‹, where r means the Levi-Civi...
On Space-Times with commutative parings of vector fields
Commutative parings sachs frame Schwarzchild space-time
2009/1/8
Let (M,g) be general space-time and let S be a Sachs frame over M. In this
paper we use the complex vector´ıal formalism constructed in [2]. If hA , (A =
1, 2, 3, 4) are the null vector f...