fundamental concepts in differential geometry
The following is an index of fundamental concepts in differental geometry^{}. It only deals with basic concepts which are common to all branches of differential geometry^{}. For concepts pertinent to specific branches of differential geometry, please see concepts in symplectic geometry and concepts in Riemannian geometry
0.1 Manifolds

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manifold^{}
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boundary manifold
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chart
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coordinate map

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coordinate neighborhood
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submanifold^{}

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immersion^{}

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differential structure
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0.2 Vector and Tensor Fields

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vector field
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contraction^{}
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jet

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spinor field
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flow

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integrable

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Pfaffian system

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frame fields

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Lie groups and algebras^{}

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fields as section^{} on bundles
0.3 Bundles and Connections
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jet bundle^{}

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connection^{}
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geodesic^{}

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homotopic^{} classification and characteristic classes

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space of connections
0.4 Gauge theory
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Title  fundamental concepts in differential geometry 

Canonical name  FundamentalConceptsInDifferentialGeometry 
Date of creation  20130322 14:47:23 
Last modified on  20130322 14:47:23 
Owner  rspuzio (6075) 
Last modified by  rspuzio (6075) 
Numerical id  15 
Author  rspuzio (6075) 
Entry type  Topic 
Classification  msc 5300 