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Date: 1-7-2017
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Date: 3-8-2021
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Date: 29-5-2021
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The rank of a vector bundle is the dimension of its fiber. Equivalently, it is the maximum number of linearly independent local bundle sections in a trivialization. Naturally, the dimension here is measured in the appropriate category. For instance, a real line bundle has fibers isomorphic with , and a complex line bundle has fibers isomorphic to
, but in both cases their rank is 1.
The rank of the tangent bundle of a real manifold is equal to the dimension of
. The rank of a trivial bundle
is equal to
. There is no upper bound to the rank of a vector bundle over a fixed manifold
.
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دراسة: عدم ترتيب الغرفة قد يدل على مشاكل نفسية
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علماء: تغير المناخ تسبب في ارتفاع الحرارة خلال موسم الحج
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شعبة فاطمة بنت أسد للدراسات القرآنية تختتم دورة ينابيع الرحمة
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