HARMONICMAPPINGSOFTWO- DIMENTIONALFIELDSCONNECTED TO2-FAMILYOFPLANESINE4 INVARIANTLY
Глазырина Елена Дмитриевна · 2004
Two-dimentional manifold V22ofplanes14is stdied infour-dimeional Euclidean spaceE4. Thetwo-dmentional manifold V22 ofplanes 4 associates withthismnifd.Theplanare, orthogonal totheapproteplans14ofthe points A ndequpping plaesofmanifold V . Therearemappngsbetween theappropriate plae 4eV2ad 2 s Thegeometrical sense ofthese displays isfound ou Particular cases arefoundout,whenthegiven mappings satisf toeither Cauchy-Riemann ord'AlambertEuler conitions orthey a iousinsome orallpoints ofthecorresponding planes 4 or L4.Allconsiderations havelocal character, and themappings area analytiCal.