Chern-Gauss-Bonnet Theorem

Theorem

The Chern-Gauss-Bonnet Theorem is a non-trivial generalization of the Gauss-Bonnet Theorem, as follows:

Work In Progress You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by completing it. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{WIP}} from the code.

Proof

This theorem requires a proof. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Also see

• Gauss-Bonnet Theorem
• Riemann-Roch Theorem
• Atiyah-Singer Index Theorem
• Definition:De Rham Cohomology

Source of Name

This entry was named for Shiing-Shen Chern, Carl Friedrich Gauss and Pierre Ossian Bonnet.

Sources

There are no source works cited for this page. In particular: Work in progress Source citations are highly desirable, and mandatory for all definition pages. Definition pages whose content is wholly or partly unsourced are in danger of having such content deleted. To discuss this page in more detail, feel free to use the talk page.