In differential geometry, the slice theorem states: given a manifold M {\displaystyle M} on which a Lie group G {\displaystyle G} acts as diffeomorphisms...

mathematics, the slice theorem refers to The slice theorem in differential geometry, or Luna's slice theorem, an analog in algebraic geometry. This disambiguation...

"Remarkable Theorem") is a major result of differential geometry, proved by Carl Friedrich Gauss in 1827, that concerns the curvature of surfaces. The theorem says...

that X looks locally like G×Gx W. (see slice theorem (differential geometry).) Luna, Domingo (1973), "Slices étales", Sur les groupes algébriques, Bull...

geometry is not typically seen as a particular sub-field of differential geometry, the study of smooth manifolds. In particular, Serre's GAGA theorem...

exponentiation Euler's rotation theorem – Movement with a fixed point is rotation Euler's theorem (differential geometry) – Orthogonality of the directions...

manifold. This is because it relies on the theorem of existence and uniqueness for ordinary differential equations which is local in nature. An affine...

only if K,L are homothetic. (See theorem 3.4.3 in Hug and Weil's course on convex geometry.) We prove the following theorem on concentration of measure, following...

energy theorem (also known as the positive mass theorem) refers to a collection of foundational results in general relativity and differential geometry. Its...

In the mathematical field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor (after Bernhard Riemann and Elwin Bruno...

'ovals'. The statement of Bézout's theorem showed a number of aspects which were not directly accessible to the geometry of the time, to do with singular...

mathematics, and especially differential geometry and gauge theory, the Yang–Mills equations are a system of partial differential equations for a connection...

became precise, and developed through differential geometry and Lie group theory. Notably, the Whitney embedding theorem showed that the intrinsic definition...

Eberhard's theorem on the realization of polyhedra with given types of faces, to be proven more easily, without reference to the geometry of these shapes...

Riemannian Penrose inequality using the positive mass theorem". Journal of Differential Geometry. 59 (2): 177–267. Bibcode:2001JDGeo..59..177B. doi:10...

density conjecture was finally proved using the tameness theorem and the ending lamination theorem by Namazi & Souto (2012) and Ohshika (2011). Bers, Lipman...

{\mathcal {R}}_{\alpha }[f](s)={\mathcal {R}}[f](\alpha ,s)} . The Fourier slice theorem then states: R α [ f ] ^ ( σ ) = f ^ ( σ n ( α ) ) {\displaystyle {\widehat...

conjecture (UK: /ˈpwæ̃kæreɪ/, US: /ˌpwæ̃kɑːˈreɪ/, French: [pwɛ̃kaʁe]) is a theorem about the characterization of the 3-sphere, which is the hypersphere that...

science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory...

Princeton University Press. p. 6.; Theorem 1.13. Spivak, Michael (1999). A Comprehensive Introduction to Differential Geometry. Vol. 3. Publish or Perish Press...

The Method of Mechanical Theorems (Greek: Περὶ μηχανικῶν θεωρημάτων πρὸς Ἐρατοσθένη ἔφοδος), also referred to as The Method, is one of the major surviving...

& Nelsen (2020), p. 187, Theorem 9.2.2. Berger, Marcel (2010). Geometry Revealed: A Jacob's Ladder to Modern Higher Geometry. Heidelberg: Springer. p...

mathematics professor Ilka Agricola (born 1973), German expert on differential geometry and its applications in mathematical physics Nkechi Agwu (born 1962)...

mathematical field of differential geometry, a calibrated manifold is a Riemannian manifold (M,g) of dimension n equipped with a differential p-form φ (for some...

"Spaces of geodesics". In Del Riego, L. (ed.). Differential Geometry Workshop on Spaces of Geometry (Guanajuato, 1992). Aportaciones Mat. Notas Investigación...

U})} form an atlas for the differential structure on S {\displaystyle S} . Alexander's theorem and the Jordan–Schoenflies theorem are good examples of smooth...

In algebraic and differential geometry, a Calabi–Yau manifold, also known as a Calabi–Yau space, is a particular type of manifold which has certain properties...

In mathematics, and especially differential geometry and mathematical physics, gauge theory is the general study of connections on vector bundles, principal...

theorem Freudenthal suspension theorem Hurewicz theorem Künneth theorem Lefschetz fixed-point theorem Leray–Hirsch theorem Poincaré duality theorem Seifert–van...

more general vector bundles, play an important role in differential geometry and differential topology, as do principal bundles. Mappings between total...