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Derivations on CR manifoldsDerivations on CR manifolds
- Other Titles
- Derivations on CR manifolds
- Authors
- Jeong Seog Ryu; 이승훈
- Issue Date
- 2004
- Publisher
- 대한수학회
- Keywords
- derivation; tangentialCauchy-Riemann operator; CR-manifold
- Citation
- 대한수학회논문집, v.19, no.1, pp.135 - 141
- Journal Title
- 대한수학회논문집
- Volume
- 19
- Number
- 1
- Start Page
- 135
- End Page
- 141
- ISSN
- 1225-1763
- Abstract
- We studied the relation between the tangentialCauchy-Riemann operator overline partial _b on CR-manifoldsand the derivation d^{pi^{0,1}} associated to the naturalprojection map pi^{0,1}:TM otimes {mathbb C}=T^{1,0} oplusT^{0,1} to T^{0,1}. We found that these two differentialoperators agree only on the space of functions Omega^0(M),unless T^{1,0} is involutive as well. We showed that thedifference is a derivation, which vanishes on Omega^0(M), andit is induced by the Nijenhuis tensor associated to pi^{0,1}.
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