“Exterior Derivative”的概念、定义、习题解题方法及翻译-数学辞典

单词

Exterior Derivative

释义

Exterior Derivative

Consider a Differential k-Form

(1)

Then its exterior derivative is

(2)

where

is the Wedge Product. Similarly, consider

(3)

Then


			(4)

Denote the exterior derivative by

(5)

Then for a 0-form

(6)

for a 1-form

(7)

and for a 2-form

(8)

where

is the Permutation Tensor.

The second exterior derivative is

(9)

which is known as Poincaré's Lemma.

See also Differential k-Form, Poincaré's Lemma,Wedge Product

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