Kähler differentials provide an adaptation of differential forms to arbitrary commutative rings or schemes. The notion was introduced by Erich Kähler...

In mathematics and especially differential geometry, a Kähler manifold is a manifold with three mutually compatible structures: a complex structure, a...

{\displaystyle a_{1}} gives a derivation. In differential geometry derivations are tangent vectors Kähler differential Hasse derivative p-derivation Wirtinger...

geometry and for string theory. Erich Kähler was born in Leipzig, the son of a telegraph inspector Ernst Kähler. Inspired as a boy to be an explorer after...

geometry and the theory of complex manifolds, a logarithmic differential form is a differential form with poles of a certain kind. The concept was introduced...

(J,g)} is called a Kähler structure, and a Kähler manifold is a manifold endowed with a Kähler structure. In particular, a Kähler manifold is both a complex...

Kähler differentials. In either case the definition has its origins in the theory of abelian integrals. The dimension of the space of differentials of...

In differential geometry, a Kähler–Einstein metric on a complex manifold is a Riemannian metric that is both a Kähler metric and an Einstein metric. A...

Cartan–Kähler theorem is a major result on the integrability conditions for differential systems, in the case of analytic functions, for differential ideals...

Quadratic differentials (which behave like "squares" of abelian differentials) are also important in the theory of Riemann surfaces. Kähler differentials provide...