“Quasiconformal mappings and asymptotic geometry of manifolds”

00:00 27-01-2010
<p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto"><font face="Arial, Helvetica, sans-serif"><font size="3"><span style="FONT-SIZE: 14px; COLOR: black; FONT-FAMILY: 'Arial','sans-serif'">We plan to</span><span style="COLOR: black"></span></font></font></p> <p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt 36pt; TEXT-INDENT: -18pt; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto"><font face="Arial, Helvetica, sans-serif"><font size="3"><span style="FONT-SIZE: 14px; COLOR: black; FONT-FAMILY: 'Arial','sans-serif'">-</span><span style="FONT-SIZE: 7pt; COLOR: black">          </span><span style="FONT-SIZE: 14px; COLOR: black; FONT-FAMILY: 'Arial','sans-serif'">compare the Jacobian problem (JP) for holomorphic mappings and global homeomorphism theorem (GHT) for quasiconformal mappings;</span><span style="COLOR: black"></span></font></font></p> <p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt 36pt; TEXT-INDENT: -18pt; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto"><font face="Arial, Helvetica, sans-serif"><font size="3"><span style="FONT-SIZE: 14px; COLOR: black; FONT-FAMILY: 'Arial','sans-serif'">-</span><span style="FONT-SIZE: 7pt; COLOR: black">          </span><span style="FONT-SIZE: 14px; COLOR: black; FONT-FAMILY: 'Arial','sans-serif'">come to the Carnot-Caratheodory metric and to conformally invariant form of the GHT;</span><span style="COLOR: black"></span></font></font></p> <p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt 36pt; TEXT-INDENT: -18pt; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto"><font face="Arial, Helvetica, sans-serif"><font size="3"><span style="FONT-SIZE: 14px; COLOR: black; FONT-FAMILY: 'Arial','sans-serif'">-</span><span style="FONT-SIZE: 7pt; COLOR: black">          </span><span style="FONT-SIZE: 14px; COLOR: black; FONT-FAMILY: 'Arial','sans-serif'">touch upon some geometric problems related the conformal type of Riemannian and sub-Riemannian manifolds.</span><span style="COLOR: black"></span></font></font></p><SPAN STYLE="display: none"> <P>Acetylenide minutes, pointedly? 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