Übersetzung für 'Kähler manifold' von Englisch nach Deutsch

Kähler manifold

Kählermannigfaltigkeit {f} [auch: Kähler-Mannigfaltigkeit]math.

• Because projective space carries a Kähler metric, the Fubini–Study metric, such a manifold is always a Kähler manifold.
• A Kähler manifold is a complex manifold with a Riemannian metric and symplectic structure compatible with the complex structure.
• A Kähler manifold is a symplectic manifold equipped with a compatible integrable complex structure.
• For a closed surface "M" the invariant "Z"("M") of the theory is the number of pseudo holomorphic maps "f" : "M" → "X" in the sense of Gromov (they are ordinary holomorphic maps if "X" is a Kähler manifold).
• Furthermore, if "G" is a complex Lie group, "G"/"P" is a homogeneous Kähler manifold.

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• Complex projective space is a Kähler manifold. This implies that, for any projective algebraic variety "X", [...] is a compact Kähler manifold.