De Rham information

In mathematics, de Rham cohomology (named after Georges de Rham) is a tool belonging both to algebraic topology and to differential topology, capable...

equestrian DeRham Farm in Philipstown, New York De Rham, Iselin & Moore De Rham curve De Rham cohomology De Rham invariant De Rham–Weil theorem Hodge–de Rham spectral...

Georges de Rham (French: [dəʁam]; 10 September 1903 – 9 October 1990) was a Swiss mathematician, known for his contributions to differential topology...

Claudia de Rham is a British theoretical physicist of Swiss origin working at the interface of gravity, cosmology, and particle physics. She is based...

In mathematics, a de Rham curve is a continuous fractal curve obtained as the image of the Cantor space, or, equivalently, from the base-two expansion...

Riemannian geometry in a more general setting. In 1952 Georges de Rham proved the de Rham decomposition theorem, a principle for splitting a Riemannian...

to study algebraic geometry, and it built on the work of Georges de Rham on de Rham cohomology. It has major applications in two settings: Riemannian...

have wide applications, including in derived deformation theory. See also de Rham cohomology. The singular cohomology of a topological space with coefficients...

William de Rham (born 22 August 1922) is a Swiss former equestrian who competed in the 1956 Summer Olympics. Evans, Hilary; Gjerde, Arild; Heijmans, Jeroen;...

be used as the differential (coboundary) to define de Rham cohomology on a manifold. The k-th de Rham cohomology (group) is the vector space of closed k-forms...

variety X in characteristic p is the de Rham cohomology of a smooth lift of X to characteristic 0, while de Rham cohomology of X is the crystalline cohomology...

Charles de Rham (October 22, 1822 – February 23, 1909) was an American merchant and clubman who was prominent in New York society. Charles was born in...

divisor of poles). (This idea is made precise by several versions of de Rham's theorem discussed below.) Let X be a complex manifold, D ⊂ X a reduced...

Jeanne de Rham (née King; 1892 – December 24, 1965) was an American politician and philanthropist. She was one of four surviving children of Mary Elizabeth...

\Omega ^{3}(M)\to \cdots } The cohomology of this complex is called the de Rham cohomology of M. Locally constant functions are designated with its isomorphism...

point of the curve. The Koch curve arises as a special case of a de Rham curve. The de Rham curves are mappings of Cantor space into the plane, usually arranged...

with compact support, and d be the standard exterior derivative. Then the de Rham cohomology groups with compact support H c q ( X ) {\displaystyle H_{\mathrm...

The former DeRham Farm is located along Indian Brook Road just off NY 9D in the Town of Philipstown, north of Garrison, New York, United States. It is...

Euler class of the bundle. Discussion of the sequence is clearest with de Rham cohomology. There cohomology classes are represented by differential forms...

operator and is at the core of Hodge theory as well as the results of de Rham cohomology. The Laplace operator is a second-order differential operator...

easily visualized. More specifically, the conjecture states that certain de Rham cohomology classes are algebraic; that is, they are sums of Poincaré duals...

In geometric topology, the de Rham invariant is a mod 2 invariant of a (4k+1)-dimensional manifold, that is, an element of Z / 2 {\displaystyle \mathbf...

complex is called the de Rham complex, and its cohomology is by definition the de Rham cohomology of M. By the Poincaré lemma, the de Rham complex is locally...