Complex geometry and real geometry  

作　　者：YU Yanlin ZHU Lin FENG Xiuhong 

机构地区：[1]Department of Mathematics,Suzhou University,Suzhou,215006,China Department of Mathematics,Suzhou University,Suzhou,215006,China Department of Mathematics,Suzhou University,Suzhou,215006,China

出　　处：《Science China Mathematics》2005年第z1期206-216,共11页中国科学：数学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.10131020).

摘　　要：There is a well-known way to generalize the Riemann-Roch operator for Kahler manifold to that for Hermitian manifold. In this paper we show a slightly different way to get a generalized Riemann-Roch operator, which is just the Dirac operator. The difference between the two operators is that the latter one enables the so-called Pythagoras equalities.There is a well-known way to generalize the Riemann-Roch operator for Kahler manifold to that for Hermitian manifold. In this paper we show a slightly different way to get a generalized Riemann-Roch operator, which is just the Dirac operator. The difference between the two operators is that the latter one enables the so-called Pythagoras equalities.

关 键 词：spinor  bispinor  CLIFFORD algebra  JACK map  PYTHAGORAS RELATION 

分 类 号：N[自然科学总论]