BETTI AND TACHIBANA NUMBERS

被引：3

作者：

Stepanov, Sergey E. ^{[1
]}

Mikes, Josef ^{[2
]}

机构：

[1] Finance Univ, Dept Math, Govt Russian Federat, Moscow 125993, Russia

[2] Palacky Univ, Fac Sci, Dept Algebra & Geometry, Olomouc 77146, Czech Republic

来源：

MISKOLC MATHEMATICAL NOTES | 2013年 / 14卷 / 02期

关键词：

Riemannian manifold; differential form; Betti numbers; Tachibana numbers; RIEMANNIAN-MANIFOLDS; OPERATORS;

D O I：

10.18514/MMN.2013.907

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a rough classification of differential forms on a Riemannian manifold, we consider definitions and properties of conformal Killing forms on a compact Riemannian manifold and define Tachibana numbers as an analog of the well known Betti numbers. We state the conditions that characterize these numbers. In the last section we show connections between the Betti and Tachibana numbers.

引用

下载

页码：475 / 486

页数：12

共 50 条

[1] Betti and Tachibana numbers
Stepanov, Sergey E.
MATHEMATICAL NOTES, 2014, 95 (5-6) : 856 - 864
[2] Betti and Tachibana numbers
S. E. Stepanov
Mathematical Notes, 2014, 95 : 856 - 864
[3] Betti and Tachibana numbers of compact Riemannian manifolds
Stepanov, Sergey E.
Mikes, Josef
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2013, 31 (04) : 486 - 495
[4] On the Betti and Tachibana Numbers of Compact Einstein Manifolds
Rovenski, Vladimir
Stepanov, Sergey
Tsyganok, Irina
MATHEMATICS, 2019, 7 (12)
[5] BETTI NUMBERS OF ALMOST TACHIBANA SPACES AND SASAKIAN SPACES
SATO, I
TENSOR, 1971, 22 (01): : 87 - &
[6] Curvature and Tachibana numbers
Stepanov S.E.
Journal of Mathematical Sciences, 2011, 172 (6) : 901 - 908
[7] Curvature and Tachibana numbers
Stepanov, Sergey E.
SBORNIK MATHEMATICS, 2011, 202 (07) : 1059 - 1069
[8] BETTI NUMBERS ARE TESTABLE
Elek, Gabor
FETE OF COMBINATORICS AND COMPUTER SCIENCE, 2010, 20 : 139 - 149
[9] CURVATURE AND BETTI NUMBERS
BOCHNER, S
ANNALS OF MATHEMATICS, 1948, 49 (02) : 379 - 390
[10] Maximal Betti numbers
Chardin, M
Gasharov, V
Peeva, I
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (07) : 1877 - 1880

← 1 2 3 4 5 →