Übersetzung für 'Kähler form' von Englisch nach Deutsch

Kähler form

Kähler-Form {f}math.

• is related to a pure spinor which is just a number by an imaginary shift of the B-field, which is a shift of the Kähler form.
• The hard Lefschetz theorem in fact holds for any compact Kähler manifold, with the isomorphism in de Rham cohomology given by multiplication by a power of the class of the Kähler form.
• Amplitudes for the scattering of these strings depend only on the Kähler form of the spacetime, and not on the complex structure.
• Kunihiko Kodaira's result is that for a compact Kähler manifold "M", with a Hodge metric, meaning that the cohomology class in degree 2 defined by the Kähler form ω is an "integral" cohomology class, there is a complex-analytic embedding of "M" into complex projective space of some high enough dimension "N".
• this is equivalent to saying that it is a negative line bundle, meaning that minus its Chern class is the de Rham class of the standard Kähler form.

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• The moduli space must not only be Kähler, but also the Kähler form must lift to integral cohomology.
• These are hermitian metrics for which the penultimate power of the associated Kähler form is closed, i.e.
• In mathematics, and in particular gauge theory and complex geometry, a Hermitian Yang–Mills connection (or Hermite-Einstein connection) is a Chern connection associated to an inner product on a holomorphic vector bundle over a Kähler manifold that satisfies an analogue of Einstein's equations: namely, the contraction of the curvature 2-form of the connection with the Kähler form is required to be a constant times the identity transformation.
• Given a Killing vector field for which the corresponding one-parameter group of isometries acts by holomorphic mappings, Frankel used the Cartan formula to show that the interior product of the vector field with the Kähler form is closed.
• Whilst it is not always possible to describe a Kähler form "globally" using a single Kähler potential, it is possible to describe the "difference" of two Kähler forms this way, provided they are in the same de Rham cohomology class.

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• Suppose that [...] is a complex compact manifold with a Kähler form [...].