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  • Title: A general Schwarz Lemma for almost-Hermitian manifolds - arXiv. org
    We prove a version of Yau's Schwarz Lemma for general almost-complex manifolds equipped with Hermitian metrics This requires an extension to this setting of the Laplacian comparison theorem
  • A general Schwarz lemma for almost-Hermitian manifolds
    We prove a version of Yau’s Schwarz lemma for general almost-complex manifolds equipped with almost-Hermitian metrics This requires an extension to this setting of the Laplacian comparison theorem
  • GENERAL SCHWARZ LEMMAS BETWEEN PSEUDO-HERMITIAN MANIFOLDS AND HERMITIAN . . .
    pseudo-Hermitian manifold, denoted by (M,HM,J,θ) or (M,T1,0M,θ), is an orientable CR manifold with a positive pseudo-Hermitian structure θ which satisfies that HM = Kerθ and its related Levi form Lθ(X,Y¯) == − √ −1dθ(X,Y¯) for any X,Y ∈ T1,0M (2 2) is positive definite On a pseudo-Hermitian manifold (M,HM,J,θ), there is a
  • A SCHWARZ LEMMA FOR V-HARMONIC MAPS AND THEIR APPLICATIONS
    Recently, Tosatti [12] established a Schwarz lemma for holomorphic maps between almost Hermitian manifolds with curvature and torsion conditions on the canonical connection We can also consider the case of harmonic maps In [5,6], Goldberg et al considered harmonic maps of bounded dilatation between Riemannian manifolds
  • Schwarz Lemma: The Case of Equality and an Extension - Springer
    In the second part, we study the holomorphic sectional curvature on an almost Hermitian manifold and establish a Schwarz lemma in terms of holomorphic sectional curvatures in almost Hermitian setting The Ahlfors–Schwarz lemma [1] is one of the most important results in complex analysis and differential geometry
  • arXiv:2109. 06650v1 [math. CV] 12 Sep 2021
    On an almost Hermitian manifold (M,J,g), there is a preferred connection preserving the metric g and the almost complex structure J, and coinciding with the Chern connection when J is integrable
  • A general Schwarz lemma for almost-Hermitian manifolds
    We prove a version of Yau's Schwarz lemma for general almost-complex manifolds equipped with almost-Hermitian metrics This requires an extension to this setting of the Laplacian comparison theorem
  • A GENERAL SCHWARZ LEMMA FOR HERMITIAN MANIFOLDS - Kyle Broder
    A GENERAL SCHWARZ LEMMA FOR HERMITIAN MANIFOLDS KYLE BRODER AND JAMES STANFIELD Abstract The Schwarz lemma for holomorphic maps between Hermitian manifolds is improved New curvature constraints on the source and target manifolds are introduced and shown to be weaker than the Ricci and real bisectional curvature, respectively The





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