Timeline for Special Killing Vector Fields

5 events

when toggle format	what		by	license	comment
Mar 2, 2011 at 21:53	history	edited	agt	CC BY-SA 2.5	added 10 characters in body
Mar 2, 2011 at 20:50	comment	added	Rbega		As it ended up answering the question your approach makes the most sense. The way I thought about things was: Fix a point $p$ so that $X(p)\neq 0$ Let $U$ be a small neighborhood of $p$ so that in $p$ there is a smooth surface $\Sigma$ through $p$ and normal to $X$. Let $\phi_s$ be the family of isometries generated by $X$ clearly for $U$ small enough $\phi_s(\Sigma)$ foliate $U$ and all the leaves are orthogonal to $X$. This allows one to think of $s$ as a function on $U$. One has $ds=\frac{X}{\|X\|^2}$.
Mar 2, 2011 at 18:32	history	edited	agt	CC BY-SA 2.5	added 33 characters in body
Mar 2, 2011 at 18:09	history	edited	agt	CC BY-SA 2.5	corrected a pronoun; deleted 68 characters in body
Mar 2, 2011 at 18:03	history	answered	agt	CC BY-SA 2.5