| Complex geometry and real geometry |
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| 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.
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Complex geometry and real geometry |
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| Authors: | YU Yanlin ZHU Lin FENG Xiuhong |
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| Abstract: | 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. |
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| Keywords: | spinor bispinor Clifford algebra Jack map Pythagoras relation |
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