Kovariante Ableitung - Revision history

*>SchuBot: Mathematik einrücken

2010-09-12T16:34:33Z

Mathematik einrücken

← Older revision		Revision as of 18:34, 12 September 2010
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	</source>		</source>

	<math>		:<math>
	\begin{align}		\begin{align}
	T_{{\color{Orange}rs...}; \color{Red}l}^{\color{Blue}ik...}		T_{{\color{Orange}rs...}; \color{Red}l}^{\color{Blue}ik...}
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	<math>		:<math>
	{A^{\color{Violet}\lambda }}_{{\color{Orange}\mu};{\color{Red}\nu} }		{A^{\color{Violet}\lambda }}_{{\color{Orange}\mu};{\color{Red}\nu} }
	=		=

92.226.33.241 at 00:56, 7 July 2009

2009-07-07T00:56:34Z

← Older revision		Revision as of 02:56, 7 July 2009
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	\end{align}		\end{align}
	</math>		</math>


	<math>		<math>
	{A^{\color{Violet}\lambda }}_{{\color{Orange}\mu};{\color{Red}\nu} }		{A^{\color{Violet}\lambda }}_{{\color{Orange}\mu};{\color{Red}\nu} }

92.226.33.241 at 00:56, 7 July 2009

2009-07-07T00:56:13Z

@@ Line 18: / Line 18: @@
 </source>
+<math>
 <math>
 {A^{\color{Violet}\lambda }}_{{\color{Orange}\mu};{\color{Red}\nu} }

Schubotz at 11:59, 3 April 2009

2009-04-03T11:59:45Z

← Older revision		Revision as of 13:59, 3 April 2009
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	[[Bild:KovarianteAbleitung.png]]		[[Bild:KovarianteAbleitung.png]]
	<source lang="latex">		<source lang="latex">
	T_{rs...;l}^{ik...} = T_{rs...,l}^{ik...}&+ \Gamma _{ml}^{i}T_{rs...}^{mk...}\quad&&+\Gamma _{ml}^{i}T_{is...}^{rm...}... &\quad&\text{f }\!\!\ddot{\mathrm{u}}\!\!\text{ r jeden oberen Index} \\		\begin{align}
	& +\Gamma _{rl}^{m}T_{ms...}^{ik...}\quad&&+\Gamma _{rl}^{m}T_{rm...}^{ik...}...&&\text{f }\!\!\ddot{\mathrm{u}}\!\!\text{ r jeden unteren Index} \\		T_{{\color{Orange}rs...}; \color{Red}l}^{\color{Blue}ik...}
			=
			T_{{\color{Orange}rs...}, \color{Red}l}^{\color{Blue} ik...}&
			+
			\Gamma _{ m\color{Red}l}^{\color{Blue}i}T_{\color{Orange}rs...}^{m\color{Blue}k...}\quad&&
			+
			\Gamma _{m\color{Red}l}^{\color{Blue}i}T_{\color{Orange}rs...}^{{\color{Blue}r}m\color{Blue}...}... &\quad&
			{\color{Blue}\text{f }\!\!\ddot{\mathrm{u}}\!\!\text{ r jeden oberen Index}} \\
			& +
			\Gamma _{\color{Orange}r\color{Red}l}^{m}T_{m\color{Orange}s...}^{ \color{Blue}ik...}\quad&&
			+
			\Gamma _{\color{Orange}r\color{Red}l}^{m}T_{{\color{Orange}r}m\color{Orange}...}^{ \color{Blue}ik...}...&&
			\color{Orange}{\text{f }\!\!\ddot{\mathrm{u}}\!\!\text{ r jeden unteren Index}} \\
			\end{align}
	</source>		</source>

Schubotz at 11:58, 3 April 2009

2009-04-03T11:58:12Z

← Older revision		Revision as of 13:58, 3 April 2009
Line 1:		Line 1:
	<~~math~~>T_{rs...;l}^{ik...} = T_{rs...,l}^{ik...}&+ \Gamma _{ml}^{i}T_{rs...}^{mk...}\quad&&+\Gamma _{ml}^{i}T_{is...}^{rm...}... &\quad&\text{f }\!\!\ddot{\mathrm{u}}\!\!\text{ r jeden oberen Index} \\		[[Bild:KovarianteAbleitung.png]]
	& +\Gamma _{rl}^{m}T_{ms...}^{ik...}\quad&&+\Gamma _{rl}^{m}T_{rm...}^{ik...}...&&\text{f }\!\!\ddot{\mathrm{u}}\!\!\text{ r jeden unteren Index} \\ </~~math~~>		<source lang="latex">
			T_{rs...;l}^{ik...} = T_{rs...,l}^{ik...}&+ \Gamma _{ml}^{i}T_{rs...}^{mk...}\quad&&+\Gamma _{ml}^{i}T_{is...}^{rm...}... &\quad&\text{f }\!\!\ddot{\mathrm{u}}\!\!\text{ r jeden oberen Index} \\
			& +\Gamma _{rl}^{m}T_{ms...}^{ik...}\quad&&+\Gamma _{rl}^{m}T_{rm...}^{ik...}...&&\text{f }\!\!\ddot{\mathrm{u}}\!\!\text{ r jeden unteren Index} \\
			</source>

Schubotz at 16:29, 1 April 2009

2009-04-01T16:29:42Z

← Older revision		Revision as of 18:29, 1 April 2009
Line 1:		Line 1:
			<math>T_{rs...;l}^{ik...} = T_{rs...,l}^{ik...}&+ \Gamma _{ml}^{i}T_{rs...}^{mk...}\quad&&+\Gamma _{ml}^{i}T_{is...}^{rm...}... &\quad&\text{f }\!\!\ddot{\mathrm{u}}\!\!\text{ r jeden oberen Index} \\
			& +\Gamma _{rl}^{m}T_{ms...}^{ik...}\quad&&+\Gamma _{rl}^{m}T_{rm...}^{ik...}...&&\text{f }\!\!\ddot{\mathrm{u}}\!\!\text{ r jeden unteren Index} \\ </math>



	<math>		<math>
	{A^{\color{Violet}\lambda }}_{{\color{Orange}\mu};{\color{Red}\nu} }		{A^{\color{Violet}\lambda }}_{{\color{Orange}\mu};{\color{Red}\nu} }
Line 11:		Line 16:
	{A^{\color{Violet}\lambda }}_\rho		{A^{\color{Violet}\lambda }}_\rho
	</math>		</math>

			== Eigenschaften ==
			* erhält Tensoreingeschaft <-> Unterschied zur [[gewöhnlichen Ableitung]]

	[[Kategorie:Tensor]]		[[Kategorie:Tensor]]

Schubotz at 15:29, 1 April 2009

2009-04-01T15:29:48Z

← Older revision		Revision as of 17:29, 1 April 2009
Line 1:		Line 1:
	<math>{A^\lambda }_{\mu ;\nu } = \frac{{\partial {A^\lambda }_\mu }}{{\partial {x^\nu }}} + \Gamma _{\rho \nu }^\lambda {A^\rho }_\mu - \Gamma _{\mu \nu }^\rho {A^\lambda }_\rho		<math>
			{A^{\color{Violet}\lambda }}_{{\color{Orange}\mu};{\color{Red}\nu} }
			=
			\frac{{\partial {A^{\color{Violet}\lambda }}_{\color{Orange}\mu}}}
			{{\partial {x^{\color{Red}\nu} }}}
			+
			\Gamma _{\rho {\color{Red}\nu} }^{\color{Violet}\lambda }
			{A^\rho }_{\color{Orange}\mu}
			-
			\Gamma _{{\color{Orange}\mu}{\color{Red}\nu} }^\rho
			{A^{\color{Violet}\lambda }}_\rho
	</math>		</math>

			[[Kategorie:Tensor]]

Schubotz: Die Seite wurde neu angelegt: ${A^\lambda }_{\mu ;\nu } = \frac{{\partial {A^\lambda }_\mu }}{{\partial {x^\nu }}} + \Gamma _{\rho \nu }^\lambda {A^\rho }_\mu - \Gamma _{\mu \nu }^\rho {A^\lam...$

2009-03-19T12:40:51Z

Die Seite wurde neu angelegt: <math>{A^\lambda }_{\mu ;\nu } = \frac{{\partial {A^\lambda }_\mu }}{{\partial {x^\nu }}} + \Gamma _{\rho \nu }^\lambda {A^\rho }_\mu - \Gamma _{\mu \nu }^\rho {A^\lam...

New page

<math>{A^\lambda }_{\mu ;\nu } = \frac{{\partial {A^\lambda }_\mu }}{{\partial {x^\nu }}} + \Gamma _{\rho \nu }^\lambda {A^\rho }_\mu - \Gamma _{\mu \nu }^\rho {A^\lambda }_\rho
</math>

Kovariante Ableitung - Revision history

*>SchuBot: Mathematik einrücken

92.226.33.241 at 00:56, 7 July 2009

92.226.33.241 at 00:56, 7 July 2009

Schubotz at 11:59, 3 April 2009

Schubotz at 11:58, 3 April 2009

Schubotz at 16:29, 1 April 2009

Schubotz at 15:29, 1 April 2009

Schubotz: Die Seite wurde neu angelegt: {A^\lambda }_{\mu ;\nu } = \frac{{\partial {A^\lambda }_\mu }}{{\partial {x^\nu }}} + \Gamma _{\rho \nu }^\lambda {A^\rho }_\mu - \Gamma _{\mu \nu }^\rho {A^\lam...

Schubotz: Die Seite wurde neu angelegt: ${A^\lambda }_{\mu ;\nu } = \frac{{\partial {A^\lambda }_\mu }}{{\partial {x^\nu }}} + \Gamma _{\rho \nu }^\lambda {A^\rho }_\mu - \Gamma _{\mu \nu }^\rho {A^\lam...$