LEADER 04329nam 22006735 450 001 9910300152703321 005 20251230061430.0 010 $a3-319-04675-6 024 7 $a10.1007/978-3-319-04675-4 035 $a(CKB)3710000000107787 035 $a(EBL)1731640 035 $a(SSID)ssj0001243088 035 $a(PQKBManifestationID)11701206 035 $a(PQKBTitleCode)TC0001243088 035 $a(PQKBWorkID)11262149 035 $a(PQKB)10603364 035 $a(MiAaPQ)EBC1731640 035 $a(DE-He213)978-3-319-04675-4 035 $a(PPN)178781649 035 $a(EXLCZ)993710000000107787 100 $a20140505d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeometry and its Applications /$fedited by Vladimir Rovenski, Pawe? Walczak 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (247 p.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1017 ;$v72 300 $aDescription based upon print version of record. 311 08$a3-319-04674-8 320 $aIncludes bibliographical references. 327 $aPart I: Geometry -- The Ricci flow on some generalized Wallach spaces (N.A. Abiev, A. Arvanitoyeorgos, Y.G. Nikonorov, P. Siasos) -- Gaussian mean curvature flow for submanifolds in space forms (A. Borisenko, V. Rovenski) -- Cantor laminations and exceptional minimal sets in codimension one foliations (G. Hector) -- Integral formulas in foliations theory (K. Andrzejewski, P. Walczak, V. Rovenski) -- On prescribing the mixed scalar curvature of a foliations (V. Rovenski, L. Zelenko) -- The partial Ricci flow for foliations (V. Rovenski) -- Osculation in general (P. Walczak) -- On stability of totally geodesic unit vector fields on three-dimensional Lie groups (A. Yampolsky) -- Part II: Applications -- Rotational liquid film interacted with ambient gaseous media (I. Gaissinski, Y. Levy, V. Rovenski, V. Sherbaum) -- On cycles and other geometric phenomena in phase portraits of some nonlinear dynamical systems (V. Golubyatnikov, Yu. A. Gaidov) -- Remez-type inequality for smooth functions (Y. Iomdin). 330 $aThis volume has been divided into two parts: Geometry and Applications. The geometry portion of the book relates primarily to geometric flows, laminations, integral formulae, geometry of vector fields on Lie groups, and osculation; the articles in the applications portion concern some particular problems of the theory of dynamical systems, including mathematical problems of liquid flows and a study of cycles for non-dynamical systems. This Work is based on the second international workshop entitled "Geometry and Symbolic Computations," held on May 15-18, 2013 at the University of Haifa and is dedicated to modeling (using symbolic calculations) in differential geometry and its applications in fields such as computer science, tomography, and mechanics. It is intended to create a forum for students and researchers in pure and applied geometry to promote discussion of modern state-of-the-art in geometric modeling using symbolic programs such as Maple? and MathematicaŽ, as well as presentation of new results.  . 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1017 ;$v72 606 $aGeometry, Differential 606 $aMathematical models 606 $aComputer science$xMathematics 606 $aDifferential Geometry 606 $aMathematical Modeling and Industrial Mathematics 606 $aMathematical Applications in Computer Science 615 0$aGeometry, Differential. 615 0$aMathematical models. 615 0$aComputer science$xMathematics. 615 14$aDifferential Geometry. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aMathematical Applications in Computer Science. 676 $a516 702 $aRovenski$b Vladimir$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aWalczak$b Pawe?$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300152703321 996 $aGeometry and its applications$91410239 997 $aUNINA