Let ωα （α=1,…,n） be the holomorphic invariant forms introduced by the author previously ona bounded domain D in Cn for n ≥ 2. Set ωα=（i/2）α ωα.Then for any complex surface S in D we have ω2/1｜S≥ω2｜s.
Hua's theory of harmonic functions on classical domains is generalized to the theory on holomorphic vector bundles over classical domains and further on vector bundles over the real classical domains and quaternio...Hua's theory of harmonic functions on classical domains is generalized to the theory on holomorphic vector bundles over classical domains and further on vector bundles over the real classical domains and quaternion classical domains. In case of the simplest quaternion classical domain there is a relation between Hua operator and Dirac operator,by which an AdS/CFT correspondence of Dirac fields is established.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.A01010501 and 10731080)
文摘Let ωα （α=1,…,n） be the holomorphic invariant forms introduced by the author previously ona bounded domain D in Cn for n ≥ 2. Set ωα=（i/2）α ωα.Then for any complex surface S in D we have ω2/1｜S≥ω2｜s.
基金This work was partially supported by the National Natural Science Foundation of China(Grant No.2031050/A010109).
文摘Hua's theory of harmonic functions on classical domains is generalized to the theory on holomorphic vector bundles over classical domains and further on vector bundles over the real classical domains and quaternion classical domains. In case of the simplest quaternion classical domain there is a relation between Hua operator and Dirac operator,by which an AdS/CFT correspondence of Dirac fields is established.
