Haantjes Manifolds with Symmetry

被引：7

作者：

Magri, F. ^{[1
]}

机构：

[1] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Milan, Italy

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2018年 / 196卷 / 02期

关键词：

integrable system; WDVV equation; flat Riemannian metric;

D O I：

10.1134/S0040577918080081

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce the definition of Haantjes manifolds with symmetry and explain why these manifolds appear in the theory of integrable systems of hydrodynamic type and in topological field theories.

引用

页码：1217 / 1229

页数：13

共 50 条

[21] The Riemannian manifolds with boundary and large symmetry
Chen, Zhi
Shi, Yiqian
Xu, Bin
CHINESE ANNALS OF MATHEMATICS SERIES B, 2010, 31 (03) : 347 - 360
[22] COMPACT LORENTZ MANIFOLDS WITH LOCAL SYMMETRY
Melnick, Karin
JOURNAL OF DIFFERENTIAL GEOMETRY, 2009, 81 (02) : 355 - 390
[23] SUPERMANIFOLDS, RIGID MANIFOLDS AND MIRROR SYMMETRY
SETHI, S
NUCLEAR PHYSICS B, 1994, 430 (01) : 31 - 50
[24] Modifying Hyperkahler manifolds with circle symmetry
Dancer, Andrew
Swann, Andrew
ASIAN JOURNAL OF MATHEMATICS, 2006, 10 (04) : 815 - 826
[25] Do manifolds have little symmetry?
Puppe, Volker
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2007, 2 (01) : 85 - 96
[26] The Riemannian Manifolds with Boundary and Large Symmetry
Zhi CHEN Yiqian SHI Bin XU Department of Mathematics
Chinese Annals of Mathematics(Series B), 2010, 31 (03) : 347 - 360
[27] Models of CR Manifolds and Their Symmetry Algebras
Gregorovic, Jan
Kolar, Martin
Meylan, Francine
Sykes, David
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2024, 34 (03)
[28] Symmetry groups of four-manifolds
McCooey, MP
TOPOLOGY, 2002, 41 (04) : 835 - 851
[29] On the Ricci symmetry of almost Kenmotsu manifolds
Dey, Dibakar
TAMKANG JOURNAL OF MATHEMATICS, 2022, 53 (03): : 227 - 236
[30] Superconformal symmetry and HyperKahler manifolds with torsion
Poon, YS
Swann, A
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2003, 241 (01) : 177 - 189

← 1 2 3 4 5 →