Myers's theorem, also known as the Bonnet–Myers theorem, is a celebrated, fundamental theorem in the mathematical field of Riemannian geometry. It was...

theorem relates the sectional curvature of a Riemannian manifold to the rate at which its geodesics spread apart. Toponogov's theorem Myers's theorem...

Two theorems in the mathematical field of Riemannian geometry bear the name Myers–Steenrod theorem, both from a 1939 paper by Myers and Steenrod. The...

Milnor–Wood inequality Minkowski's first inequality for convex bodies Myers's theorem Noether inequality Ono's inequality Pedoe's inequality Ptolemy's inequality...

a comparison theorem in Riemannian geometry, named after Richard L. Bishop and Mikhail Gromov. It is closely related to Myers' theorem, and is the key...

length functional in Riemannian geometry, as first shown in 1941 via Myers's theorem. One common source of the Ricci tensor is that it arises whenever one...

Gauss–Bonnet theorem Hopf–Rinow theorem Cartan–Hadamard theorem Myers theorem Rauch comparison theorem Morse index theorem Synge theorem Weinstein theorem Toponogov...

virtually cyclic, so that it does not contain a subgroup isomorphic to Z×Z. Myers theorem. If a complete Riemannian manifold has positive Ricci curvature then...

The Penrose–Hawking singularity theorems (after Roger Penrose and Stephen Hawking) are a set of results in general relativity that attempt to answer the...

2-factor theorem (graph theory) 15 and 290 theorems (number theory) 2π theorem (Riemannian geometry) AF+BG theorem (algebraic geometry) ATS theorem (number...

Sumner Byron Myers (February 19, 1910 – October 8, 1955) was an American mathematician specializing in topology and differential geometry. He studied...

sometimes called elliptic 3-manifolds. A special case of the Bonnet–Myers theorem says that every smooth manifold which has a smooth Riemannian metric...

contributions to the differential geometry of surfaces, including the Gauss–Bonnet theorem. Pierre Bonnet attended the Collège in Montpellier. In 1838 he entered...

results: It follows from the Myers theorem that the fundamental group of such a manifold is finite. It follows from the Synge theorem that the fundamental group...

whose topics include Jacobi fields, Ricci curvature, scalar curvature, Myers's theorem, the Bishop–Gromov inequality, and parallel transport. After these...

Myers Hall (disambiguation), various Myers theorem, in Riemannian geometry Myers–Briggs Type Indicator, personality questionnaire O’Melveny & Myers,...

The Modigliani–Miller theorem (of Franco Modigliani, Merton Miller) is an influential element of economic theory; it forms the basis for modern thinking...

Kähler metrics of positive Ricci curvature if and only if it is Fano. Myers' theorem therefore tells us that the universal cover of a Fano manifold is compact...

The Thomas theorem is a theory of sociology which was formulated in 1928 by William Isaac Thomas and Dorothy Swaine Thomas: If men define situations as...

equivalence of regular expressions and finite automata is known as Kleene's theorem (after American mathematician Stephen Cole Kleene). In the Chomsky hierarchy...

calculated from the Cartesian coordinates of the points using the Pythagorean theorem, and therefore is occasionally called the Pythagorean distance. These names...

properties of a fixed point is known as the Hopf bifurcation. The following theorem works for fixed points with one pair of conjugate nonzero purely imaginary...

infinitesimal generators of the group are the Killing vector fields. The Myers–Steenrod theorem states that every isometry between two connected Riemannian manifolds...

power of two (George Livesay, Robert Myers) and cyclic groups of order 3 (J. Hyam Rubinstein). Killing–Hopf theorem Hopf, Heinz (1926), "Zum Clifford-Kleinschen...

problem (Ernest S. Croot III, 2000) Lafforgue's theorem (Laurent Lafforgue, 1998) Fermat's Last Theorem (Andrew Wiles and Richard Taylor, 1995) Burr–Erdős...

Yuri Matiyasevich completing the theorem in 1970. The theorem is now known as Matiyasevich's theorem or the MRDP theorem. Optimal design In the design of...

three-dimensional closed manifolds (which contains the Seifert–van Kampen theorem). He then moved to the University of Leipzig, where he received his second...

2022-10-09 – via scottaaronson.com. Ringbauer, Martin; Broome, Matthew A.; Myers, Casey R.; White, Andrew G.; Ralph, Timothy C. (19 June 2014). "Experimental...

Hannah Arendt Dana Villa 26 January 2023 philosophy/Biography 718 Gödel's Theorem A. W. Moore 24 November 2022 mathematics 719 Microbiomes Angela E. Douglas...

amount of debt in a company's capital structure. The Miller and Modigliani theorem argues that the market value of a firm is unaffected by a change in its...