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.
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页码：475 / 486
页数：12
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