The exponential map

  • John Stillwell
Part of the Undergraduate Texts in Mathematics book series (UTM)


This line is (in a sense we explain below) the tangent to the circle at its identity element 1. And, in fact, any Lie group has a linear space (of the same dimension as the group) as its tangent space at the identity.


Exponential Function Tangent Space Cross Product Tangent Vector Exponential Series 
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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of San FranciscoSan FranciscoUSA

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