What does the differential $l$-form equation mean? [closed]












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I have this equation which is from here (equation 12.63) of the book "Differential Geometry, Gauge Theories, and Gravity". Can somebody explain what it means? thanks!



the equation is:



enter image description here






algebraic-topology







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closed as unclear what you're asking by TheGeekGreek, Widawensen, user593746, Shaun, user10354138 Dec 20 '18 at 17:09


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.


















  • $begingroup$
    It is a definition.
    $endgroup$
    – TheGeekGreek
    Dec 20 '18 at 13:36
















-1












$begingroup$


I have this equation which is from here (equation 12.63) of the book "Differential Geometry, Gauge Theories, and Gravity". Can somebody explain what it means? thanks!



the equation is:



enter image description here






algebraic-topology







share|cite|improve this question









$endgroup$



closed as unclear what you're asking by TheGeekGreek, Widawensen, user593746, Shaun, user10354138 Dec 20 '18 at 17:09


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.


















  • $begingroup$
    It is a definition.
    $endgroup$
    – TheGeekGreek
    Dec 20 '18 at 13:36














-1












-1








-1





$begingroup$


I have this equation which is from here (equation 12.63) of the book "Differential Geometry, Gauge Theories, and Gravity". Can somebody explain what it means? thanks!



the equation is:



enter image description here






algebraic-topology







share|cite|improve this question









$endgroup$




I have this equation which is from here (equation 12.63) of the book "Differential Geometry, Gauge Theories, and Gravity". Can somebody explain what it means? thanks!



the equation is:



enter image description here






algebraic-topology




algebraic-topology






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Dec 20 '18 at 10:42









katerinekaterine

356




356




closed as unclear what you're asking by TheGeekGreek, Widawensen, user593746, Shaun, user10354138 Dec 20 '18 at 17:09


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.









closed as unclear what you're asking by TheGeekGreek, Widawensen, user593746, Shaun, user10354138 Dec 20 '18 at 17:09


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.














  • $begingroup$
    It is a definition.
    $endgroup$
    – TheGeekGreek
    Dec 20 '18 at 13:36


















  • $begingroup$
    It is a definition.
    $endgroup$
    – TheGeekGreek
    Dec 20 '18 at 13:36
















$begingroup$
It is a definition.
$endgroup$
– TheGeekGreek
Dec 20 '18 at 13:36




$begingroup$
It is a definition.
$endgroup$
– TheGeekGreek
Dec 20 '18 at 13:36










1 Answer
1






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oldest

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1












$begingroup$

This is just the definition of the exterior derivative, which generalizes the gradient operation from old-fashioned calculus on $mathbb{R}^n$.






share|cite|improve this answer









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    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    1












    $begingroup$

    This is just the definition of the exterior derivative, which generalizes the gradient operation from old-fashioned calculus on $mathbb{R}^n$.






    share|cite|improve this answer









    $endgroup$


















      1












      $begingroup$

      This is just the definition of the exterior derivative, which generalizes the gradient operation from old-fashioned calculus on $mathbb{R}^n$.






      share|cite|improve this answer









      $endgroup$
















        1












        1








        1





        $begingroup$

        This is just the definition of the exterior derivative, which generalizes the gradient operation from old-fashioned calculus on $mathbb{R}^n$.






        share|cite|improve this answer









        $endgroup$



        This is just the definition of the exterior derivative, which generalizes the gradient operation from old-fashioned calculus on $mathbb{R}^n$.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Dec 20 '18 at 11:27









        ಠ_ಠಠ_ಠ

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