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arXiv 1206.0372math.DGnlin.SI
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Frobenius 3-Folds via Singular Flat 3-Webs

Frobenius 3-Folds via Singular Flat 3-Webs

Sergey I. Agafonov

摘要:

利用网理论给出了结合方程加权齐次解的几何解释,并通过奇异3-网芽构造了一个重Frobenius 3-重芽,该3-重芽满足以下条件:1)网芽至少有一个无穷小对称,2)Chern联络形式是全纯的,3)曲率形式同零.

英文摘要:

We give a geometric interpretation of weighted homogeneous solutions to the associativity equation in terms of the web theory and construct a massive Frobenius 3-fold germ via a singular 3-web germ satisfying the following conditions: 1) the web germ admits at least one infinitesimal symmetry, 2) the Chern connection form is holomorphic, 3) the curvature form vanishes identically.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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