“Hodge's Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Hodge's Theorem

释义

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.

See also Betti Number, Cohomology, Dimension, Finsler Manifold

References

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

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