Center of mass and ๐บ-local triviality of ๐บ-bundles
Center of mass and ๐บ-local triviality of ๐บ-bundles
Riemannian geometry techniques are used to give a short and constructive proof that a differentiable <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G"> <mml:semantics> <mml:mi>G</mml:mi> <mml:annotation encoding="application/x-tex">G</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-fibre bundle with compact fibre is <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G"> <mml:semantics> <mml:mi>G</mml:mi> <mml:annotation encoding="application/x-tex">G</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-locally trivial when <inline-formula content-type="math/mathml"> โฆ