Extremal Kähler Metrics Induced by Finite or Infinite-Dimensional Complex Space Forms

In this paper, we address the problem of studying those complex manifolds M equipped with extremal metrics g induced by finite or infinite-dimensional complex space forms. We prove that when g is assumed to be radial and the ambient space is finite-dimensional, then ( M , g ) is itself a complex sp...

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Bibliographic Details
Published in:	The Journal of geometric analysis Vol. 31; no. 8; pp. 7842 - 7865
Main Authors:	Loi, Andrea, Salis, Filippo, Zuddas, Fabio
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.08.2021 Springer Nature B.V
Subjects:	Abstract Harmonic Analysis Convex and Discrete Geometry Curvature Differential Geometry Dynamical Systems and Ergodic Theory Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Mathematics Mathematics and Statistics extremal metric 32Q15 Complex space forms 53C55 Constant scalar curvature metric Kählermetric Calabi’s diastasis function 32T15
ISSN:	1050-6926, 1559-002X
Online Access:	Get full text
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