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Symplectic homology product via Legendrian surgery
Symplectic homology product Legendrian surgery
2011/2/23
This research announcement continues the study of the symplectic homology of Weinstein manifolds undertaken in [2] where the symplectic homology, as a vector space, was expressed in terms of the Legen...
The nonlinear product of the Bessel Laplace operator and the Bessel Helmholtz operator
Bessel Laplace operator Bessel Helmholtz operator
2010/9/25
It is found that the existence of the solution u(x) of such equation depending on the condition of f and k−1 B (B+m2)ku(x). Moreover such solution u(x) related to the nonhomogeneous Bessel bih...
On bifurcation of solutions of the Yamabe problem in product manifolds
bifurcation of solutions of the Yamabe problem product manifolds
2011/1/19
We study local rigidity and multiplicity of constant scalar curvature metrics in arbitrary products of compact manifolds. Using (equivariant)bifurcation theory we determine the existence of infinitely...
On the metric dimension of corona product graphs
Resolving sets metric dimension corona graph
2010/12/6
Given a set of vertices S = {v1, v2, ..., vk} of a connected graph G, the metric representation of a vertex v of G with respect to S is the vector r(v|S) = (d(v, v1), d(v, v2), ..., d(v, vk )), where ...
The Iso-Taxicab Geometry is a non-Euclidean Geometry. It is defined in 1989
by K.O. Sowell. The aim of this paper is, firstly, to present basics of Iso-Taxicab
Geometry, discuss the similarities to ...
Folding on the Cartesian product of manifolds and their fundamental group
manifold folding fundamental group Cartesian product
2009/1/7
In this article, we introduce the fundamental group of foldings
of the Cartesian product of manifolds into itself. Also the fundamental
group of the limit of foldings of the Cartesian product of man...
Productivity changes of the wood product manufacturing sector in the U.S.
Data Envelopment Analysis productivity change wood industry
2010/9/10
The wood product manufacturing is one of the important manufacturing industries in the United
States. Similar to other manufacturing industries, it has been facing many challenges including
an incre...
A global optimization method for minimizing a product of two positive convex functions
Global optimization multiplicative programming convex multiplicative programming
2010/9/13
This paper presents a new algorithm for minimizing a product of two positive convex functions. The given problem is firstly converted to an equivalent quasi-concave minimization problem in the outcom...
On the ordered sets in n-dimensional real inner product spaces
Real inner product space Lorentz-Minkowski distance Lorentz trans-formation
2008/12/26
Let X be a real inner product space of dimension ¸ 2. In [2],
W. Benz proved the following theorem for x; y 2 X with x < y: "The
Lorentz-Minkowski distance between x and y is zero (i.e., l (x;...
A Potpourri of Schwarz Related Inequalities in Inner Product Spaces (I)
Schwarz's inequality Triangle inequality Inner product spaces
2008/7/3
In this paper we obtain some new Schwarz related inequalities in inner product spaces over the real or complex number field. Applications for the generalized triangle inequality are also given.
A Potpourri of Schwarz Related Inequalities in Inner Product Spaces (II)
Schwarz inequality Inner product spaces Reverse inequalities
2008/7/3
Further inequalities related to the Schwarz inequality in real or complex inner product spaces are given.
A Grüss type inequality for sequences of vectors in inner product spaces and applications
Grüss Inequality inner product spaces
2008/7/3
A Grüss type inequality for sequences of vectors in inner product spaces which complement a recent result from [6] and applications for differentiable convex functions defined on inner product spaces ...
A Note on Integral Inequalities Involving the Product of Two Functions
Integral inequalities Product of two functions Discrete analogues Approximation formulae Identities
2008/7/3
In this note, we establish new integral inequalities involving two functions and their derivatives. The discrete analogues of the main results are also given.
An Identity In Real Inner Product Spaces
Real inner product spaces Equality Grüss inequality
2008/7/2
We obtain an identity in real inner product spaces that leads to the Grüss inequality and an inequality of Ostrowski.
The paper contains inequalities related to generalizations of Schwarz's inequality.