4 problems
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Compactness conjecture for locally projectively induced Kähler–Einstein manifolds
Let be a complete Kähler–Einstein manifold. A local Kähler immersion is a Kähler immersion defined on neighborhoods, and denotes complex projective…
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Homogeneity conjecture for projectively induced Kähler–Einstein manifolds
Let be a complete Kähler–Einstein manifold, and let be complex projective space, where may be finite or infinite. A Kähler immersion is an isom…
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Umehara's exception conjecture for Kähler immersions into complex hyperbolic space and Hilbert space
Let be a Kähler–Einstein manifold. A Kähler immersion is an isometric holomorphic immersion into a Kähler manifold. The spaces and…
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The projective inducibility conjecture for simply-connected homogeneous Kähler manifolds
Projective inducibility conjecture. There exists such that is projectively induced, meaning that there are an immersion…