Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606146 | Differential Geometry and its Applications | 2013 | 10 Pages |
Abstract
We present definitions and properties of conformal Killing forms on a Riemannian manifold and determine Tachibana numbers as analogs of the well known Betti numbers of a compact Riemannian manifold. We show some sets of conditions which characterize these numbers. Finally, we prove some results which establish relationships between Betti and Tachibana numbers.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Sergey E. Stepanov, Josef Mikeš,