Deforming convex real projective structures

被引：6

作者：

Wienhard, Anna ^{[1
,2
]}

Zhang, Tengren ^{[3
]}

机构：

[1] Heidelberg Univ, Math Inst, Neuenheimer Feld 205, D-69120 Heidelberg, Germany

[2] HITS gGmbH, Heidelberg Inst Theoret Studies, Schloss Wolfsbrunnenweg 35, D-69118 Heidelberg, Germany

[3] CALTECH, Dept Math, 1200 East Calif Blvd,Mail Code 253-37, Pasadena, CA 91125 USA

来源：

GEOMETRIAE DEDICATA | 2018年 / 192卷 / 01期

基金：

美国国家科学基金会; 欧洲研究理事会;

关键词：

Convex real projective structures; Flows; Projective invariants; Hitchin component; Locally homogeneous geometric structures; MODULI SPACES; DEGENERATION; SURFACES;

D O I：

10.1007/s10711-017-0243-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we define new flows-eruption flows and internal bulging flows-on the deformation space of convex real projective structures. These flows are associated to internal parameters associated to a pair of pants decomposition.

引用

页码：327 / 360

页数：34

共 19 条

[1]

Benzecri J.P., 1960, Bull. Soc. Math. France, V88, P229

[2]

Bonahon F., ARXIV160703650

[3]

Bonahon F., ARXIV14100729

[4] PARAMETERIZING HITCHIN COMPONENTS [J].

Bonahon, Francis ;

Dreyer, Guillaume .

DUKE MATHEMATICAL JOURNAL, 2014, 163 (15) :2935-2975

[5] CONVEX REAL PROJECTIVE-STRUCTURES ON CLOSED SURFACES ARE CLOSED [J].

CHOI, S ;

GOLDMAN, WM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 118 (02) :657-661

[6] Moduli spaces of convex projective structures on surfaces [J].

Fock, V. V. ;

Goncharov, A. B. .

ADVANCES IN MATHEMATICS, 2007, 208 (01) :249-273

[7] Moduli spaces of local systems and higher teichmuller theory [J].

Fock, Vladimir ;

Goncharov, Alexander .

PUBLICATIONS MATHEMATIQUES DE L'IHES NO 103, 2006, 103 (1) :1-211

[8]

Goldman W.M, ARXIV13020777V1

[9]

GOLDMAN WM, 1990, J DIFFER GEOM, V31, P791

[10] INVARIANT FUNCTIONS ON LIE-GROUPS AND HAMILTONIAN FLOWS OF SURFACE GROUP-REPRESENTATIONS [J].

GOLDMAN, WM .

INVENTIONES MATHEMATICAE, 1986, 85 (02) :263-302

← 1 2 →