On a compact oriented Finsler Manifold without boundary, every Cohomology class has a Unique harmonic representative. The Dimension of the Space of all harmonic forms of degree is the th Betti Number of the Manifold.

**References**

Chern, S.-S. ``Finsler Geometry is Just Riemannian Geometry without the Quadratic Restriction.''
*Not. Amer. Math. Soc.* **43**, 959-963, 1996.

© 1996-9

1999-05-25