Hodge's Theorem

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

• Director Curve
• Direct Product (Group)
• Direct Product (Matrix)
• Direct Product (Set)
• Direct Product (Tensor)
• Directrix (Conic Section)
• Directrix (Graph)
• Directrix (Ruled Surface)
• Direct Search Factorization
• Direct Sum (Module)
• Dirichlet Beta Function
• Dirichlet Boundary Conditions
• Dirichlet Conditions
• Dirichlet Divisor Problem
• Dirichlet Energy
• Dirichlet Eta Function
• Dirichlet Fourier Series Conditions
• Dirichlet Function
• Dirichlet Integrals
• Dirichlet Kernel
• Dirichlet Lambda Function
• Dirichlet L-Series
• Dirichlet Region
• Dirichlet's Boxing-In Principle
• Dirichlet's Box Principle