Article ID Journal Published Year Pages File Type
4606146 Differential Geometry and its Applications 2013 10 Pages PDF
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
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