1933
DOI: 10.1007/bf02940642
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Über eine bemerkenswerte Hermitesche Metrik

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Cited by 77 publications
(28 citation statements)
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“…In their papers there appeared a Hermitian space with the so-called symmetric unitary connection. The space with the same connection was also found independently by E. Kâhler [8], and such a space is now called a Kaehlerian manifold. Since then, Kaehlerian manifolds have been studied extensively.…”
supporting
confidence: 54%
“…In their papers there appeared a Hermitian space with the so-called symmetric unitary connection. The space with the same connection was also found independently by E. Kâhler [8], and such a space is now called a Kaehlerian manifold. Since then, Kaehlerian manifolds have been studied extensively.…”
supporting
confidence: 54%
“…As A-spaces, these spaces were first considered by P. A. Shirokov, see [14]. Independently they were studied by E. Kähler [5].…”
Section: Kähler Manifoldsmentioning
confidence: 99%
“…As a result, constant curvature problems for Kähler metrics boil down to scalar PDEs for their potentials, a famous instance being Kähler metrics with constant Ricci curvature, known as Kähler-Einstein metrics, whose local potentials satisfy a complex Monge-Ampère equation. This was in fact a main motivation for the introduction of Kähler metrics in [Käh33], where it was also noted that the complex Monge-Ampère equation in question can be written as the Euler-Lagrange equation of a certain functional.…”
Section: Introductionmentioning
confidence: 93%