Evaluating covariant derivative when vector fields are differential operators Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 23, 2019 at 23:30UTC (7:30pm US/Eastern)Definition for Covariant DerivativeCovariant Derivative of a vector field - Parallel Vector FieldCovariant derivative as a connection on a vector bundleCovariant derivative of a covariant vectorCovariant derivative of a constant vector fieldGeometric interpretation of the second covariant derivativeCovariant and Directional Covariant Derivative (of Tensors)Why does null covariant derivative not imply null second covariant derivative?I need help understanding the meaning of the covariant derivative of the dot product of two tangent vector fields along a parameterized curveresult of covariant derivative
Is there public access to the Meteor Crater in Arizona?
How does light 'choose' between wave and particle behaviour?
How to identify unknown coordinate type and convert to lat/lon?
Would it be easier to apply for a UK visa if there is a host family to sponsor for you in going there?
How to report t statistic from R
How to compare two different files line by line in unix?
How to run automated tests after each commit?
How long can equipment go unused before powering up runs the risk of damage?
Central Vacuuming: Is it worth it, and how does it compare to normal vacuuming?
What initially awakened the Balrog?
What are the discoveries that have been possible with the rejection of positivism?
Sentence with dass with three Verbs (One modal and two connected with zu)
A term for a woman complaining about things/begging in a cute/childish way
Co-worker has annoying ringtone
Converted a Scalar function to a TVF function for parallel execution-Still running in Serial mode
How does a spellshard spellbook work?
How often does castling occur in grandmaster games?
How much damage would a cupful of neutron star matter do to the Earth?
Random body shuffle every night—can we still function?
What does 丫 mean? 丫是什么意思？
What does Turing mean by this statement?
Can a Beast Master ranger change beast companions?
Why does it sometimes sound good to play a grace note as a lead in to a note in a melody?
The Nth Gryphon Number
Evaluating covariant derivative when vector fields are differential operators
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 23:30UTC (7:30pm US/Eastern)Definition for Covariant DerivativeCovariant Derivative of a vector field - Parallel Vector FieldCovariant derivative as a connection on a vector bundleCovariant derivative of a covariant vectorCovariant derivative of a constant vector fieldGeometric interpretation of the second covariant derivativeCovariant and Directional Covariant Derivative (of Tensors)Why does null covariant derivative not imply null second covariant derivative?I need help understanding the meaning of the covariant derivative of the dot product of two tangent vector fields along a parameterized curveresult of covariant derivative
$begingroup$
How would I evaluate, say, $triangledown_ydelta_x ydelta_x$.
where $triangledown$ is a covariant derivative, i.e. projection of the derivative of $ydelta_x$ in the direction of $ydelta_x$.
Thanks!
differential-geometry
asked Apr 2 at 0:00
Mathematical MushroomMathematical Mushroom
1778
$endgroup$
add a comment |
$begingroup$
How would I evaluate, say, $triangledown_ydelta_x ydelta_x$.
where $triangledown$ is a covariant derivative, i.e. projection of the derivative of $ydelta_x$ in the direction of $ydelta_x$.
Thanks!
differential-geometry
asked Apr 2 at 0:00
Mathematical MushroomMathematical Mushroom
1778
$endgroup$
$begingroup$
what do you mean by $delta_x$?
$endgroup$
– janmarqz
Apr 7 at 18:42
add a comment |
$begingroup$
How would I evaluate, say, $triangledown_ydelta_x ydelta_x$.
where $triangledown$ is a covariant derivative, i.e. projection of the derivative of $ydelta_x$ in the direction of $ydelta_x$.
Thanks!
differential-geometry
asked Apr 2 at 0:00
Mathematical MushroomMathematical Mushroom
1778
$endgroup$
How would I evaluate, say, $triangledown_ydelta_x ydelta_x$.
where $triangledown$ is a covariant derivative, i.e. projection of the derivative of $ydelta_x$ in the direction of $ydelta_x$.
Thanks!
differential-geometry
differential-geometry
asked Apr 2 at 0:00
Mathematical MushroomMathematical Mushroom
1778
asked Apr 2 at 0:00
Mathematical MushroomMathematical Mushroom
1778
asked Apr 2 at 0:00
Mathematical MushroomMathematical Mushroom
1778
asked Apr 2 at 0:00
Mathematical MushroomMathematical Mushroom
1778
asked Apr 2 at 0:00
Mathematical MushroomMathematical Mushroom
1778
1778
$begingroup$
what do you mean by $delta_x$?
$endgroup$
– janmarqz
Apr 7 at 18:42
add a comment |
$begingroup$
what do you mean by $delta_x$?
$endgroup$
– janmarqz
Apr 7 at 18:42
$begingroup$
what do you mean by $delta_x$?
$endgroup$
– janmarqz
Apr 7 at 18:42
$begingroup$
what do you mean by $delta_x$?
$endgroup$
– janmarqz
Apr 7 at 18:42
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%2f3171294%2fevaluating-covariant-derivative-when-vector-fields-are-differential-operators%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%2f3171294%2fevaluating-covariant-derivative-when-vector-fields-are-differential-operators%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
$begingroup$
what do you mean by $delta_x$?
$endgroup$
– janmarqz
Apr 7 at 18:42