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Palabra: LORENTZ SPACES (Palabras)

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Registro 1 de 2, Base de información BIBCYT

Autor:	Melek, M.
Título:	On the Relation Between the Absolute Parallelism Spaces and Spaces Having a GL(4) Connection.
Código:	IC/90/5
Editorial:	Trieste INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS , ITALIA
Fecha:	1990
Páginas/Colación:	7 p.
Tipo de impresión:	Impreso

Idioma:	Inglés
Descriptor Temático:	INTEGRALES

Ejemplares

Idioma:

Inglés
Descriptor Temático:

INTEGRALES

Nota
TABLA DE CONTENIDO

TABLA DE CONTENIDO

· BASIC RELATION.

· RELATION BETWEEN THE EQUATIONS OF GEODESICS

· CONSTRAINTS ON Г^μ_PV AND w^μ_PV DUE TO THE IDENTICALLY VANISHING CURVATURE TENSOR OF THE ABSOLUTE PARALLELISM SPACE.

· REMARKS AND DISCUSSION.

· ACKNOWLEDGMENTS.

· REFERENCES.

Descrip.
TABLA DE CONTENIDO

RESUMEN

It is shown that the difference between an absolute parallelism connection and a GL(4) connection can be expressed as a tensor field w^v_pv under general coordinate transformations which has the property that the quantity e^α _v e_b^pw^v_pv behaves as a connection under Lorentz transformations. The relations between the equations of geodesics, torsion tensors and curvature tensors are considered.

Registro 2 de 2, Base de información BIBCYT

Referencias Analíticas

Autor:	Barza, Sorina ; Kolyada, Viktor ; Soria , Javier
Título:	Sharp constants related to the triangle inequality in Lorentz spaces
Páginas/Colación:	pp. 5555-5574.
Fecha:	October 2009

Transactions of the American Mathematical Society Vol. 361, no.10 October 2009

Información de existencia

Palabras Claves:

EQUIVALENT NORMS,

LEVEL FUNCTION,

LORENTZ SPACES

Resumen
First cohomology groups of finite groups with nontrivial irreducible coefficients have been useful in several geometric and arithmetic contexts, including Wiles's famous paper (1995)

We study the Lorentz spaces $L^{p,s}(R,\mu)$ in the range $1<p<s\le \infty$ , for which the standard functional

$\displaystyle \vert\vert f\vert\vert _{p,s}=\left(\int_0^\infty (t^{1/p}f^*(t))^s\frac{dt}{t}\right)^{1/s}$

is only a quasi-norm. We find the optimal constant in the triangle inequality for this quasi-norm, which leads us to consider the following decomposition norm:

$\displaystyle \vert\vert f\vert\vert _{(p,s)}=\inf\bigg\{\sum_{k}\vert\vert f_k\vert\vert _{p,s}\bigg\},$

where the infimum is taken over all finite representations $f=\sum_{k}f_k.$ We also prove that the decomposition norm and the dual norm

$\displaystyle \vert\vert f\vert\vert _{p,s}'= \sup\left\{ \int_R fg d\mu: \vert\vert g\vert\vert _{p',s'}=1\right\}$

agree for all values of .

UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno

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