Webs and the Plebanski equation

被引：4

作者：

Krynski, Wojciech ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Math, Sniadeckich 8, PL-00959 Warsaw, Poland

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2016年 / 161卷 / 03期

关键词：

SYMMETRIC RICCI TENSOR; EINSTEIN-WEYL GEOMETRY; PROJECTIVE-STRUCTURES; KRONECKER WEBS; SURFACES; SYSTEMS; ODES;

D O I：

10.1017/S0305004116000463

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider 3-webs, hyper-para-complex structures and integrable Segre structures on manifolds of even dimension and generalise the second heavenly Plebanski equation in the context of higher-dimensional hyper-para-complex structures. We also characterise the Segre structures admitting a compatible hyper-para-complex structure in terms of systems of ordinary differential equations.

引用

页码：455 / 468

页数：14

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