2025-07-20

1212: Cotangent Vectors Bundle over \(C^\infty\) Manifold with Boundary

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definition of cotangent vectors bundle over \(C^\infty\) manifold with boundary

Topics


About: \(C^\infty \) manifold

The table of contents of this article


Starting Context



Target Context


  • The reader will have a definition of cotangent vectors bundle over \(C^\infty\) manifold with boundary.

Orientation


There is a list of definitions discussed so far in this site.

There is a list of propositions discussed so far in this site.


Main Body


1: Structured Description


Here is the rules of Structured Description.

Entities:
\( M\): \(\in \{\text{ the } d \text{ -dimensional } C^\infty \text{ manifolds with boundary } \}\)
\(*(T^0_1 (TM), M, \pi)\): \(= \text{ the } C^\infty (0, 1)\text{ -tensors bundle over } M\), also denoted as \((TM^*, M, \pi)\)
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Conditions:
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References


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