Dictionary
Words, grammatical forms and meanings linked to the ontology.
coordinate map en · NOUN
Meanings
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(qualifier:differential geometry) Synonym of coordinate chart.
Let (W#95;0,#92;psi) be a smooth coordinate chart for P, and let (E#95;1,#92;dots,E#95;#123;n-p#125;) be a local orthonormal frame for the normal bundle NP; by shrinking W#95;0 if necessary, we can assume that the coordinates and the local frame are defined on the same open subset W#95;0#92;subseteqP. Let #92;hat#123;W#125;#95;0#61;#92;psi(W#95;0)#92;subseteq#92;mathbb#123;R#125;ᵖ, and let NP#92;vert#95;#123;W#95;0#125; be the portion of the normal bundle over W#95;0. The coordinate map #92;psi and frame (E#95;j) yield a diffeomorphism #92;hat#123;W#125;#95;0#92;times#92;mathbb#123;R#125;#123;n-p#125;#92;rightarrowNP#92;vert#95;#123;W#95;0#125; defined by[…]
2019 January 2, John M. Lee, Introduction to Riemannian Manifolds (Graduate Texts in Mathematics), Springer, →ISBN, →OCLC, page 135:
Forms
Synonyms
coordinate chart