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Manifolds

  • David Bachman
Chapter

Abstract

Before moving on to defining forms in more general contexts, we need to introduce one more concept. Let’s reexamine Equation 4.3:\( \int\limits_M \omega = \pm \int\limits_R \omega _{\phi (x_1,\ldots,x_n )} \left( {\frac{{\partial \phi }} {{\partial x_1 }}(x_1,\ldots,x_n ),\ldots,\frac{{\partial \phi }} {{\partial x_n }}(x_1,\ldots,x_n )} \right)dx_1 \wedge \ldots \wedge dx_n \).

Keywords

Tangent Space Unit Sphere Tangent Vector Exact Form Fundamental Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of MathematicsPitzer CollegeClaremontUSA

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