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arXiv:2408.15551 [math.DG]AbstractReferencesReviewsResources

Kähler Immersions of ALE Kähler Manifolds into Complex Space Forms

Farnaz Ghanbari, Abbas Heydari

Published 2024-08-28Version 1

In this article, we investigate the K\"ahler immersions of special Asymptotically Locally Euclidean (ALE) K\"ahler metrics into complex space forms. We provide a relation between K\"ahler immersions problem of these metrics and the sign of their mass. Our result shows that these metrics with positive mass do not admit a K\"ahler immersion into complex Euclidean space. Moreover, we also obtain that these metrics with any sign of mass cannot be K\"ahler immersed into complex hyperbolic space.

Comments: arXiv admin note: text overlap with arXiv:1712.04298 by other authors
Categories: math.DG
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