Local Langlands conjectures: Difference between revisions

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In [[mathematics]], a '''coordinate-induced basis''' is a basis for the [[tangent space]] or [[cotangent space]] of a [[manifold]] that is induced by a certain coordinate system. Given the coordinate system <math> x^a </math>, the coordinate-induced basis <math>e_a</math> of the tangent space is given by
: <math> e_a = \frac{\partial}{\partial x^a} </math>
and the dual basis <math> \omega^a </math> of the cotangent space is  
: <math> \omega^a=dx^a. \, </math>
 
==References==
*D.J. Hurley, M.A. Vandyck ''Topics in Differential Geometry: a New Approach Using D-Differentiation'' (2002 Springer) p. 5
 
{{DEFAULTSORT:Coordinate-Induced Basis}}
[[Category:Differential geometry]]
 
 
{{differential-geometry-stub}}

Latest revision as of 01:18, 1 January 2015

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