On the sharp dimension estimate of CR holomorphic functions in Sasakian Manifolds
| Autor: | Chang, Shu-Cheng, Han, Yingbo, Lin, Chien |
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| Rok vydání: | 2018 |
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| Druh dokumentu: | Working Paper |
| Popis: | This is the very first paper to focus on the CR analogue of Yau's uniformization conjecture in a complete noncompact pseudohermitian $(2n+1)$-manifold of vanishing torsion (i.e. Sasakian manifold) which is an odd dimensional counterpart of K\"{a}hler geometry. In this paper, we mainly deal with the problem of the sharp dimension estimate of CR holomorphic functions in a complete noncompact pseudohermitian manifold of vanishing torsion with nonnegative pseudohermitian bisectional curvature. Comment: update the first equality in formula (5.12) and some references |
| Databáze: | arXiv |
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