proving property of differential forms
$begingroup$
Let be
$ omega $ and $ zeta $ differential forms of $C^{(1)} $ on the open set $G subset mathbb{R}^n $
and $ omega $ is of rank $r$
How to prove that following property is true:
$$ d( omega wedge zeta )= domega wedge zeta + (-1)^r omega wedge dzeta. $$
differential forms are quite hard to unterstand and handle for me ..I would appreciate any help !
real-analysis differential-geometry differential-forms
asked Jan 8 at 22:05
wondering1123wondering1123
13711
$endgroup$
add a comment |
$begingroup$
Let be
$ omega $ and $ zeta $ differential forms of $C^{(1)} $ on the open set $G subset mathbb{R}^n $
and $ omega $ is of rank $r$
How to prove that following property is true:
$$ d( omega wedge zeta )= domega wedge zeta + (-1)^r omega wedge dzeta. $$
differential forms are quite hard to unterstand and handle for me ..I would appreciate any help !
real-analysis differential-geometry differential-forms
asked Jan 8 at 22:05
wondering1123wondering1123
13711
$endgroup$
$begingroup$
Possible duplicate: math.stackexchange.com/questions/1164823/…
$endgroup$
– T. Ford
Jan 8 at 22:14
$begingroup$
Known as the 'product rule for the wedge product' I believe.. ?
$endgroup$
– T. Ford
Jan 8 at 22:15
add a comment |
$begingroup$
Let be
$ omega $ and $ zeta $ differential forms of $C^{(1)} $ on the open set $G subset mathbb{R}^n $
and $ omega $ is of rank $r$
How to prove that following property is true:
$$ d( omega wedge zeta )= domega wedge zeta + (-1)^r omega wedge dzeta. $$
differential forms are quite hard to unterstand and handle for me ..I would appreciate any help !
real-analysis differential-geometry differential-forms
asked Jan 8 at 22:05
wondering1123wondering1123
13711
$endgroup$
Let be
$ omega $ and $ zeta $ differential forms of $C^{(1)} $ on the open set $G subset mathbb{R}^n $
and $ omega $ is of rank $r$
How to prove that following property is true:
$$ d( omega wedge zeta )= domega wedge zeta + (-1)^r omega wedge dzeta. $$
differential forms are quite hard to unterstand and handle for me ..I would appreciate any help !
real-analysis differential-geometry differential-forms
real-analysis differential-geometry differential-forms
asked Jan 8 at 22:05
wondering1123wondering1123
13711
asked Jan 8 at 22:05
wondering1123wondering1123
13711
asked Jan 8 at 22:05
wondering1123wondering1123
13711
asked Jan 8 at 22:05
wondering1123wondering1123
13711
asked Jan 8 at 22:05
wondering1123wondering1123
13711
13711
$begingroup$
Possible duplicate: math.stackexchange.com/questions/1164823/…
$endgroup$
– T. Ford
Jan 8 at 22:14
$begingroup$
Known as the 'product rule for the wedge product' I believe.. ?
$endgroup$
– T. Ford
Jan 8 at 22:15
add a comment |
$begingroup$
Possible duplicate: math.stackexchange.com/questions/1164823/…
$endgroup$
– T. Ford
Jan 8 at 22:14
$begingroup$
Known as the 'product rule for the wedge product' I believe.. ?
$endgroup$
– T. Ford
Jan 8 at 22:15
$begingroup$
Possible duplicate: math.stackexchange.com/questions/1164823/…
$endgroup$
– T. Ford
Jan 8 at 22:14
$begingroup$
Possible duplicate: math.stackexchange.com/questions/1164823/…
$endgroup$
– T. Ford
Jan 8 at 22:14
$begingroup$
Known as the 'product rule for the wedge product' I believe.. ?
$endgroup$
– T. Ford
Jan 8 at 22:15
$begingroup$
Known as the 'product rule for the wedge product' I believe.. ?
$endgroup$
– T. Ford
Jan 8 at 22:15
add a comment |
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$begingroup$
Possible duplicate: math.stackexchange.com/questions/1164823/…
$endgroup$
– T. Ford
Jan 8 at 22:14
$begingroup$
Known as the 'product rule for the wedge product' I believe.. ?
$endgroup$
– T. Ford
Jan 8 at 22:15