Time derivative of a differential form Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Computing the restriction of a differential formHow to proceed this computation with differential forms?Covariant and contravariant bases on a diffeomorphismHow to find the derivative of the flow of an autonomous differential equation with respect to $x$Exterior derivative = infinitesimal change in differential form?Exterior derivarive dependent only on pointHow to take this exterior derivative of the expression $du - sum_i p_i dx_i$?covariantly constant one formOn the “exterior derivative” for not-necessarily-differential formsI don't understand understand this differential equality
What is the appropriate index architecture when forced to implement IsDeleted (soft deletes)?
Is CEO the "profession" with the most psychopaths?
Why does the remaining Rebel fleet at the end of Rogue One seem dramatically larger than the one in A New Hope?
What are the out-of-universe reasons for the references to Toby Maguire-era Spider-Man in Into the Spider-Verse?
What is "gratricide"?
What is the meaning of 'breadth' in breadth first search?
Why weren't discrete x86 CPUs ever used in game hardware?
Can the Great Weapon Master feat's damage bonus and accuracy penalty apply to attacks from the Spiritual Weapon spell?
Do wooden building fires get hotter than 600°C?
Has negative voting ever been officially implemented in elections, or seriously proposed, or even studied?
How were pictures turned from film to a big picture in a picture frame before digital scanning?
Is it possible for SQL statements to execute concurrently within a single session in SQL Server?
Is it a good idea to use CNN to classify 1D signal?
How often does castling occur in grandmaster games?
A term for a woman complaining about things/begging in a cute/childish way
What does it mean that physics no longer uses mechanical models to describe phenomena?
Selecting user stories during sprint planning
How do living politicians protect their readily obtainable signatures from misuse?
How does Python know the values already stored in its memory?
Is there any word for a place full of confusion?
An adverb for when you're not exaggerating
Central Vacuuming: Is it worth it, and how does it compare to normal vacuuming?
How come Sam didn't become Lord of Horn Hill?
Question about debouncing - delay of state change
Time derivative of a differential form
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Computing the restriction of a differential formHow to proceed this computation with differential forms?Covariant and contravariant bases on a diffeomorphismHow to find the derivative of the flow of an autonomous differential equation with respect to $x$Exterior derivative = infinitesimal change in differential form?Exterior derivarive dependent only on pointHow to take this exterior derivative of the expression $du - sum_i p_i dx_i$?covariantly constant one formOn the “exterior derivative” for not-necessarily-differential formsI don't understand understand this differential equality
$begingroup$
Maybe a very silly question, but I've found the following equation:
$$fracddt omega(p+tV|_p) = sum_ifracddt (p_i+tV_i(p)) partial_i omega (p)$$
I suppose it's a kind of chain rule, and that $partial_i omega (p)$ is the directional derivative of $omega$ in the direction $i$ at $p$, but i can not get full light on it.
calculus differential-geometry differential-forms
asked Mar 27 at 17:51
Lo ScrondoLo Scrondo
192111
$endgroup$
add a comment |
$begingroup$
Maybe a very silly question, but I've found the following equation:
$$fracddt omega(p+tV|_p) = sum_ifracddt (p_i+tV_i(p)) partial_i omega (p)$$
I suppose it's a kind of chain rule, and that $partial_i omega (p)$ is the directional derivative of $omega$ in the direction $i$ at $p$, but i can not get full light on it.
calculus differential-geometry differential-forms
asked Mar 27 at 17:51
Lo ScrondoLo Scrondo
192111
$endgroup$
1
$begingroup$
it's covariant derivative along a curve
$endgroup$
– deb
Mar 27 at 18:43
add a comment |
$begingroup$
Maybe a very silly question, but I've found the following equation:
$$fracddt omega(p+tV|_p) = sum_ifracddt (p_i+tV_i(p)) partial_i omega (p)$$
I suppose it's a kind of chain rule, and that $partial_i omega (p)$ is the directional derivative of $omega$ in the direction $i$ at $p$, but i can not get full light on it.
calculus differential-geometry differential-forms
asked Mar 27 at 17:51
Lo ScrondoLo Scrondo
192111
$endgroup$
Maybe a very silly question, but I've found the following equation:
$$fracddt omega(p+tV|_p) = sum_ifracddt (p_i+tV_i(p)) partial_i omega (p)$$
I suppose it's a kind of chain rule, and that $partial_i omega (p)$ is the directional derivative of $omega$ in the direction $i$ at $p$, but i can not get full light on it.
calculus differential-geometry differential-forms
calculus differential-geometry differential-forms
asked Mar 27 at 17:51
Lo ScrondoLo Scrondo
192111
asked Mar 27 at 17:51
Lo ScrondoLo Scrondo
192111
asked Mar 27 at 17:51
Lo ScrondoLo Scrondo
192111
asked Mar 27 at 17:51
Lo ScrondoLo Scrondo
192111
asked Mar 27 at 17:51
Lo ScrondoLo Scrondo
192111
192111
1
$begingroup$
it's covariant derivative along a curve
$endgroup$
– deb
Mar 27 at 18:43
add a comment |
1
$begingroup$
it's covariant derivative along a curve
$endgroup$
– deb
Mar 27 at 18:43
1
1
$begingroup$
it's covariant derivative along a curve
$endgroup$
– deb
Mar 27 at 18:43
$begingroup$
it's covariant derivative along a curve
$endgroup$
– deb
Mar 27 at 18:43
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3164859%2ftime-derivative-of-a-differential-form%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3164859%2ftime-derivative-of-a-differential-form%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
1
$begingroup$
it's covariant derivative along a curve
$endgroup$
– deb
Mar 27 at 18:43