Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Chong-Kyu Han"'
Autor:
Hye-Seon Kim, Chong-Kyu Han
Publikováno v:
Annales Polonici Mathematici. 124:61-73
Given an affine control system $\dot{\mathbf x} = f({\mathbf x}) + \sum_{j=1}^m g_j({\mathbf x}) u_j$ we present an algorithmic process of construction of submanifolds that are invariant under controls assuming that the linear span of $f, g_1, \ldots
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e90d914f6b1f67e70736059841c6bb50
https://doi.org/10.4064/ap190327-16-10
https://doi.org/10.4064/ap190327-16-10
Autor:
Jong-Do Park, Chong-Kyu Han
Publikováno v:
Journal of Mathematical Analysis and Applications. 430:390-402
In this paper we discuss the local solvability of Cauchy problem for quasi-linear partial differential equations of first order. By using the classical method of characteristics we describe the non-uniqueness or the degree of freedom for solutions an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99e8ff90550a75f847c8a44935b8a153
https://doi.org/10.1016/j.jmaa.2015.04.081
https://doi.org/10.1016/j.jmaa.2015.04.081
Autor:
Chong-Kyu Han, Jong-Do Park
Publikováno v:
Science China Mathematics. 58:1665-1676
Given a set of independent vector fields on a smooth manifold, we discuss how to find a function whose zero-level set is invariant under the flows of the vector fields. As an application, we study the solvability of overdetermined partial differentia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73d03baf161646e774daeb6689842069
https://doi.org/10.1007/s11425-014-4942-8
https://doi.org/10.1007/s11425-014-4942-8
Autor:
Chong Kyu Han, Jong Do Park
Publikováno v:
Pacific Journal of Mathematics. 265:59-84
We study the local solvability of the system of quasilinear Cauchy‐Riemann equations for d unknown functions in n complex variables, which is a system of elliptic type and overdetermined if n 2. We consider an associated almost complex structure on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0d34c976b8320816f7a38e566f9057b
https://doi.org/10.2140/pjm.2013.265.59
https://doi.org/10.2140/pjm.2013.265.59
Autor:
Hye-Seon Kim, Chong-Kyu Han
Publikováno v:
Journal of the Korean Mathematical Society. 49:379-394
Given an almost complex structure (, J), , that is defined by setting , ,m, to be (1, 0)-forms, we find conditions on () for the existence of holomorphic functions an classify the almost complex structures by type (,q). Then we determine types for se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d74220f4a4f876cd31d83b2d6bec9af9
https://doi.org/10.4134/jkms.2012.49.2.379
https://doi.org/10.4134/jkms.2012.49.2.379
Publikováno v:
Journal of Geometric Analysis. 23:377-394
A Jacobi field on a Riemannian manifold M is defined along a geodesic. We generalize this notion to an arbitrary smooth curve, and call it an infinitesimal isometry along the curve. We give two approaches to this: 1) compute the complete prolongation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::757113b5c770a58ac57e477e76559585
https://doi.org/10.1007/s12220-011-9250-8
https://doi.org/10.1007/s12220-011-9250-8
Autor:
Heungju Ahn, Chong-Kyu Han
Publikováno v:
Journal of Geometric Analysis. 22:561-582
Let M be a generic CR manifold in \(\Bbb{C}^{m+d}\) of codimension d, locally given as the common zero set of real-valued functions r1,…,rd. Given an integer δ=1,…,d, we find a necessary and sufficient condition for M to contain a real submanifo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e18ec0e9fd302cefb07cf84bcefa14d4
https://doi.org/10.1007/s12220-010-9208-2
https://doi.org/10.1007/s12220-010-9208-2
Autor:
Giuseppe Tomassini, Chong-Kyu Han
Publikováno v:
Journal of the Korean Mathematical Society. 47:1001-1015
Let M be a C 1 real hypersurface in C n+1 , n ‚ 1, locally given as the zero locus of a C 1 real valued function r that is defined on a neighborhood of the reference point P 2 M. For each k = 1,...,n we present a necessary and sucient condition for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::275ff9803aef7fa08376f109d64d250a
https://doi.org/10.4134/jkms.2010.47.5.1001
https://doi.org/10.4134/jkms.2010.47.5.1001
Autor:
Chong-Kyu Han
Publikováno v:
Bulletin of the Korean Mathematical Society. 46:931-940
Given a system of smooth 1-forms µ = (µ 1 ;:::;µ s ) on a smooth manifold M m , we give a necessary and su-cient condition for M to be foliated by integral manifolds of dimension n, np := m i s; and construct an integrable supersystem (µ;·) by f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0920edbf6ea726439f605f6ae114b950
https://doi.org/10.4134/bkms.2009.46.5.931
https://doi.org/10.4134/bkms.2009.46.5.931
Autor:
Chong-Kyu Han
Publikováno v:
Journal of the Korean Mathematical Society. 46:1087-1103
Given a system of s independent 1-forms on a smooth man- ifold M of dimension m, we study the existence of integral manifolds by means of various generalized versions of the Frobenius theorem. In par- ticular, we present necessary and sucient conditi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be7cc7ee13ccd49c9c48aa2fbf4488ec
https://doi.org/10.4134/jkms.2009.46.5.1087
https://doi.org/10.4134/jkms.2009.46.5.1087