Calabi conjecture[kə′lä·bē kən‚jek·chər] (mathematics) If the volume of a certain type of surface, defined in a higher dimensional space in terms of complex numbers, is known, then a particular kind of metric can be defined on it; the conjecture was subsequently prove...
内容提示: 《自然科学史研究》第31卷第2期( 2012年) :233—246Studi es i n theH btory ofN atural Sc& nces v01.3 1N o.2( 2012)卡拉比猜想及其证明冯晓华高策( 山西大学科学技术哲学研究中心,太原030006)摘要卡拉比猜想的证明,引出了许多重要结果,对于后来数学和物理的发展做出了基础性贡献。文章依据原始...
特别地,此时Matsushima条件是容许KE度量的充分必要条件,故KE度量的Calabi猜想 Ⅲ对于复曲面成立。 TianOn Calabi’s conjecture for complex surfaces with positive first Chern class 已知在高维,KE度量的Calabi猜想 Ⅲ给出的限制是不充分的。我们还需要一类新的限制。 (2)考虑 的稳定性。Kobayashi证明了Fano流形 容...
Calabi Conjecture 作者: Lambert M·Surhone / Mariam T·Tennoe / Susan F·Henssonow 页数: 68 ISBN: 9786131234972 豆瓣评分 目前无人评价 评价: 写笔记 写书评 加入购书单 分享到 推荐 我来说两句 短评 ··· 热门 还没人写过短评呢 我要写书评 Calabi Conjecture的书评 ··· ( 全部0 条...
Jia: The Calabi Conjecture on Affine Maximal surfaces. Result. Math. 40(2001), 265-272.Li, A, Jia, F: The Calabi conjecture on affine maximal surfaces. Results Math. 40, 256-272 (2001)An-Min Li,Fang Jia.The Calabi Conjecture on Affine Maximal Surfaces[J]. Results in Mathematics ....
It was conjectured in [4] that the integrality of the q-series implies the integrality of the instanton numbers, which in this example is not the case. The integrality of solution and mirror map clearly indicates that we have a rank four Calabi–Yau motive and one would expect the ...
Formally, the operators are differential operators of infinite order. Studying properties of their eigenvalues is thus of twofold importance. Firstly, it sheds more light on the conjectured connection to Calabi–Yau manifolds. Secondly, any results obtained can be expected to form limit cases in kno...
In 2009, Claire Amiot gave a construction of Calabi-Yau structures on Verdier quotients. We sketch how to lift it to the dg setting. We use this construction as an important step in an outline of the proof of her conjecture on the structure of 2-Calabi-Yau triangulated categories with a ...
The goal was to introduce the students to some of the basic geometry of Calabi-Yau manifolds and lead into mirror symmetry. It began with a discussion of holonomy, Ricci curvature, and Yau's proof of the Calabi conjecture, which is not included here, and then moved on to an introduction ...
T. Yau(1978) who proved the Calabi conjecture that they have Ricci flat metrics. In superstring theory the extra dimensions of spacetime are sometimes conjectured to take the form of a 6- dimensional Calabi–Yau manifold, which led to the idea of mirror symmetry. 展开 关键词:...