Estimates of the Kobayashi-Royden metric in almost complex manifolds
Copyright policy )Estimates of the Kobayashi-Royden metric in almost complex manifolds
A lower estimate is obtained for the Kobayashi-Royden infinitesimal metric on an almost complex manifold \((M,J)\): if \(\rho\) is a \(C^2\) defining function of a relatively compact domain \(D= \{\rho< 0\}\), strictly \(J\)-plurisubharmonic near \(\overline D\), then \[ K_{(D,J)}(p,v)\geq c\Biggl[{|\partial_J\rho(p)(v- iJ(p)v)|^2\over |\rho(p)|^2}+ {\| v\|\over|\rho(p)}\Biggr]^{1/2} \] for all \(p\in D\) and \(v\in T_pM\). As a consequence, every point of \(M\) has a basis of complete hyperbolic neighbourhoods.
CR manifolds as boundaries of domains, \(J\)-plurisubharmonic function, Real submanifolds in complex manifolds, General geometric structures on manifolds (almost complex, almost product structures, etc.), complete hyperbolic manifold, Strongly pseudoconvex domains, Kobayashi-Royden metric, Boundary regularity of mappings in several complex variables, Invariant metrics and pseudodistances in several complex variables
CR manifolds as boundaries of domains, \(J\)-plurisubharmonic function, Real submanifolds in complex manifolds, General geometric structures on manifolds (almost complex, almost product structures, etc.), complete hyperbolic manifold, Strongly pseudoconvex domains, Kobayashi-Royden metric, Boundary regularity of mappings in several complex variables, Invariant metrics and pseudodistances in several complex variables
selected citations These citations are derived from selected sources.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).26 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.Average 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.Top 10%
Citations provided by BIP!Popularity provided by BIP!