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l µ ∇µθ (l) − κθ (l) − 1<br />
2 θ(l) + σ (l)<br />
µνσ (l)µν + Rµνl µ l ν . <br />
<br />
σ (l)<br />
µνσ lµν + Rµνl µ l ν = 0. <br />
<br />
σ (l) µν = Θ (l)<br />
µν = 0 <br />
<br />
Llqµν = 0, <br />
qµν H (0, +, +) <br />
qµν St H<br />
Σt (M, gµν) <br />
<br />
<br />
<br />
St <br />
<br />
<br />
<br />
ˆ ∇ H <br />
[l] <br />
H <br />
∀V µ ∈ H (Ll ˆ ∇ − ˆ ∇Ll)V µ = 0. <br />
H <br />
<br />
κ <br />
<br />
<br />
(H, qµν, ˆ ∇)<br />
<br />
l µ <br />
<br />
SO(2) <br />
St <br />
<br />
<br />
SO(3) <br />
St <br />
<br />
<br />
<br />
<br />
qab St <br />
SO(2) φ µ