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handle: 2158/1178616
We study some basic properties and examples of Hermitian metrics on complex manifolds whose traces of the curvature of the Chern connection are proportional to the metric itself.
minor changes, to appear in Math. Z
Mathematics - Differential Geometry, STABILITY, Chern connection, Mathematics - Complex Variables, SURFACES, Chern-Einstein metrics, CURVATURE, INVARIANT COMPLEX STRUCTURES, GAUDUCHON METRICS, Differential Geometry (math.DG), 53B35, 32Q99, 53A30, 22E25, Chern–Einstein metrics, MANIFOLDS, FOS: Mathematics, KAHLER, Complex Variables (math.CV), Chern connection, Chern-Einstein metrics
Mathematics - Differential Geometry, STABILITY, Chern connection, Mathematics - Complex Variables, SURFACES, Chern-Einstein metrics, CURVATURE, INVARIANT COMPLEX STRUCTURES, GAUDUCHON METRICS, Differential Geometry (math.DG), 53B35, 32Q99, 53A30, 22E25, Chern–Einstein metrics, MANIFOLDS, FOS: Mathematics, KAHLER, Complex Variables (math.CV), Chern connection, Chern-Einstein metrics
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 11 | |
popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |