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Canadian Journal of Mathematics, 1967
Let M, M′ be C∞ Riemann manifolds such that(1.0) M is compact;(1.1) M′ is complete and its sectional curvatures are non-positive.In terms of local coordinates x = (x1, … , xn) on M and y = (y1, … , ym) on M′, let the respective Riemann elements of arc-length beand Γijk, Γ′αβγ be the corresponding Christoffel symbols.
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Let M, M′ be C∞ Riemann manifolds such that(1.0) M is compact;(1.1) M′ is complete and its sectional curvatures are non-positive.In terms of local coordinates x = (x1, … , xn) on M and y = (y1, … , ym) on M′, let the respective Riemann elements of arc-length beand Γijk, Γ′αβγ be the corresponding Christoffel symbols.
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Neighborhoods of Harmonic and Stable Harmonic Mappings
Bulletin of the Malaysian Mathematical Sciences SocietyzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bappaditya Bhowmik, Santana Majee
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Harmonic maps and harmonic morphisms
Journal of Mathematical Sciences, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Properties of the mappings that are close to the harmonic mappings
Siberian Mathematical Journal, 1998This a continuation of the author's paper [Sib. Math. J. 39, No. 4, 765-780 (1998; Zbl 0915.30019)]. The results of the article include a theorem on the connection between the notion of \(\varepsilon\)-quasiharmonic mapping and the solutions to Beltrami systems, an analog to the arithmetic mean property of harmonic functions for \(\varepsilon ...
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On harmonic univalent mappings
1990Es werden harmonische Abbildungen des Einheitskreises betrachtet. Bei gewissen Koeffizientenbeschränkungen erweisen sich diese hier als sternförmig bzw. konvex.
Avci, Yusuf, Złotkiewicz, Eligiusz
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Short-time existence of the α-Dirac-harmonic map flow and applications
Communications in Partial Differential Equations, 2021Juergen Jost, Jingyong Zhu
exaly
1990
This item was digitized as part of a project to share McGill's intellectual legacy with the public. If you are the copyright holder or a relative of the copyright holder who is deceased, you may request withdrawal by emailing escholarship.library@mcgill.ca.
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This item was digitized as part of a project to share McGill's intellectual legacy with the public. If you are the copyright holder or a relative of the copyright holder who is deceased, you may request withdrawal by emailing escholarship.library@mcgill.ca.
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Harmonic, locally quasiconformal mappings
1995Summary: Classes \(H(\alpha,K)\) of functions \(f(z)=h(z)+\overline{g(z)}\), which are harmonic in \(\Delta=\{z:| z| < 1\}\) (\(h(z)\) and \(g(z)\) are regular in \(\Delta\)), preserve the orientation \((J(z)>0)\), are \(K\)-quasiconformal in \(\Delta\), are considered, where \(f(0)=0\), \(h(0)+\overline {g'(0)}=1\), \(\frac{h(z)}{h'(0)}\) belongs to a
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