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There is a page named "Chern-Gauss-Bonnet Theorem" on Wikipedia
- In the mathematical field of differential geometry, the Gauss–Bonnet theorem (or Gauss–Bonnet formula) is a fundamental formula which links the curvature...13 KB (1,842 words) - 10:54, 1 April 2024
- mathematics, the Chern theorem (or the Chern–Gauss–Bonnet theorem after Shiing-Shen Chern, Carl Friedrich Gauss, and Pierre Ossian Bonnet) states that the...13 KB (1,853 words) - 23:01, 22 May 2024
- with Chern include Jim Simons, an American mathematician and billionaire hedge fund manager. Chern's work, most notably the Chern-Gauss-Bonnet Theorem, Chern–Simons...53 KB (6,147 words) - 11:23, 12 July 2024
- topological data). It includes many other theorems, such as the Chern–Gauss–Bonnet theorem and Riemann–Roch theorem, as special cases, and has applications...53 KB (7,529 words) - 04:31, 30 May 2024
- hyperbolic geometry Gauss–Bonnet theorem, a theorem about curvature in differential geometry for 2d surfaces Chern–Gauss–Bonnet theorem in differential geometry...14 KB (1,124 words) - 14:42, 31 July 2024
- highly abstract theorems from geometry to be used to gain insight, ranging from the Chern–Gauss–Bonnet theorem and the Riemann–Roch theorem to the Atiyah–Singer...35 KB (5,951 words) - 16:28, 19 June 2024
- Hsiang–Lawson's conjecture Theorema Egregium Gauss–Bonnet theorem Chern–Gauss–Bonnet theorem Chern–Weil homomorphism Gauss map Second fundamental form Curvature...8 KB (679 words) - 11:05, 12 February 2024
- transversal open coverings. Notoriously, the intrinsic Chern–Gauss–Bonnet theorem proved by Chern that the Euler characteristic of a closed affine manifold...11 KB (1,533 words) - 14:10, 22 June 2024
- density theorem (number theory) Chen's theorem (number theory) Cheng's eigenvalue comparison theorem (Riemannian geometry) Chern–Gauss–Bonnet theorem (differential...73 KB (6,015 words) - 12:17, 2 August 2024
- curvature also carries over to orbifolds, along with the Chern-Gauss-Bonnet theorem and Shiing-Shen Chern's proof thereof. Satake, I. (1956), "On a generalization...5 KB (413 words) - 01:29, 2 September 2023
- The Chern classes offer some information about this through, for instance, the Riemann–Roch theorem and the Atiyah–Singer index theorem. Chern classes...41 KB (7,404 words) - 03:21, 13 August 2024
- aspects such as the Gauss–Bonnet theorem, the uniformization theorem, the von Mangoldt-Hadamard theorem, and the embeddability theorem. There are other important...128 KB (17,447 words) - 02:21, 18 August 2024
- statement also follows from the Chern–Gauss–Bonnet theorem as noticed by John Milnor in 1955 (written down by Shiing-Shen Chern in 1955.). For manifolds of...15 KB (2,283 words) - 07:46, 24 April 2024
- Minister of Health Chern Shiing-Shen (陳省身; 1911–2004), Chinese-American mathematician, known for Chern–Gauss–Bonnet theorem, Chern class, Chern–Simons theory...63 KB (7,953 words) - 07:25, 7 July 2024
- Euler characteristic. The classification is consistent with the Gauss–Bonnet theorem, which implies that for a closed surface with constant curvature...29 KB (3,376 words) - 16:03, 1 March 2024
- in the late 1940s by Shiing-Shen Chern and André Weil, in the wake of proofs of the generalized Gauss–Bonnet theorem. This theory was an important step...15 KB (2,779 words) - 19:00, 2 December 2023
- the Gauss–Bonnet theorem then provides a logical contradiction to the negativity of mass. As such, they were able to prove the positive mass theorem in...116 KB (10,419 words) - 13:15, 27 July 2024
- most visibly in local to global theorems in Riemannian geometry, and results like the Gauss–Bonnet theorem and Chern–Weil theory. Sharp distinctions between...5 KB (530 words) - 14:56, 20 May 2021
- projective geometry J. A. Todd (1908–1994) Daniel Pedoe (1910–1998) Shiing-Shen Chern (1911–2004) – differential geometry Ernst Witt (1911–1991) Rafael Artzy...14 KB (1,125 words) - 05:33, 7 August 2024
- invariants was a particular reason to make a theory, to prove a general Gauss–Bonnet theorem. When the theory was put on an organised basis around 1950 (with...10 KB (1,460 words) - 07:40, 25 April 2024