Systolic volume and minimal entropy of aspherical manifolds

被引：0

作者：

Sabourau, Stephane ^{[1
]}

机构：

[1] Univ Tours, Lab Math & Phys Theor, F-37400 Tours, France

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2006年 / 74卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish isosystolic inequalities for a class of manifolds which includes the aspherical manifolds. In particular, we relate the systolic volume of aspherical manifolds first to their minimal entropy, then to the algebraic entropy of their fundamental groups.

引用

页码：155 / 176

页数：22

共 50 条

[1] Volume and homology growth of aspherical manifolds
Sauer, Roman
GEOMETRY & TOPOLOGY, 2016, 20 (02) : 1035 - 1059
[2] Integral foliated simplicial volume of aspherical manifolds
Frigerio, Roberto
Loeh, Clara
Pagliantini, Cristina
Sauer, Roman
ISRAEL JOURNAL OF MATHEMATICS, 2016, 216 (02) : 707 - 751
[3] On the simplicial volume and the Euler characteristic of (aspherical) manifolds
Loeh, Clara
Moraschini, Marco
Raptis, George
RESEARCH IN THE MATHEMATICAL SCIENCES, 2022, 9 (03)
[4] Integral foliated simplicial volume of aspherical manifolds
Roberto Frigerio
Clara Löh
Cristina Pagliantini
Roman Sauer
Israel Journal of Mathematics, 2016, 216 : 707 - 751
[5] On the simplicial volume and the Euler characteristic of (aspherical) manifolds
Clara Löh
Marco Moraschini
George Raptis
Research in the Mathematical Sciences, 2022, 9
[6] The minimal entropy problem for 3-manifolds with zero simplicial volume
Anderson, JW
Paternain, GP
ASTERISQUE, 2003, (286) : 63 - 79
[7] Systolic volume of hyperbolic manifolds and connected sums of manifolds
Sabourau, Stephane
GEOMETRIAE DEDICATA, 2007, 127 (01) : 7 - 18
[8] Systolic volume of hyperbolic manifolds and connected sums of manifolds
Stéphane Sabourau
Geometriae Dedicata, 2007, 127 : 7 - 18
[9] On the minimal volume of open manifolds
Bessières, L
ANNALES DE L INSTITUT FOURIER, 2000, 50 (03) : 965 - +
[10] Aspherical manifolds, relative hyperbolicity, simplicial volume and assembly maps
Belegradek, Igor
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2006, 6 : 1341 - 1354

← 1 2 3 4 5 →