A Rigidity Theorem for Affine Kähler-Ricci Flat Graph

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dc.creatorLi, An-Min
dc.creatorXu, Ruiwei
dc.date2007-10-19
dc.date2007-10-20
dc.date.accessioned2026-07-07T08:37:18Z
dc.date.available2026-07-07T08:37:18Z
dc.descriptionIt is shown that any smooth strictly convex global solution of $$\det(\frac{\partial^{2}u}{\partial ξ_{i}\partial ξ_{j}}) = \exp \left\{-\sum_{i=1}^n d_i \frac{\partial u}{\partial ξ_{i}} - d_0\right\},$$ where $d_0$, $d_1$,...,$d_n$ are constants, must be a quadratic polynomial. This extends a well-known theorem of Jörgens-Calabi-Pogorelov.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/0710.3637
dc.identifierhttp://arxiv.org/abs/0710.3637
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140355
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53A15
dc.titleA Rigidity Theorem for Affine Kähler-Ricci Flat Graph
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