Results 241 to 250 of about 64,208 (273)
Some of the next articles are maybe not open access.
Journal of Geometry, 1993
Generalized Chen submanifolds or \(k\)-th Chen submanifolds are defined. The authors give a characterization of those submanifolds in terms of an operator of J. Simons. They relate these submanifolds to submanifolds of finite type introduced by B. Y. Chen and prove that: Let \(M\) be a compact submanifold in \(E^ m\) with parallel second fundamental ...
Li, Shi-Jie, Houh, Chorng-Shi
openaire +1 more source
Generalized Chen submanifolds or \(k\)-th Chen submanifolds are defined. The authors give a characterization of those submanifolds in terms of an operator of J. Simons. They relate these submanifolds to submanifolds of finite type introduced by B. Y. Chen and prove that: Let \(M\) be a compact submanifold in \(E^ m\) with parallel second fundamental ...
Li, Shi-Jie, Houh, Chorng-Shi
openaire +1 more source
2004
Abstract The prototypical submanifold is a surface in ordinary space. There are various ways of describing surfaces in ordinary space.
openaire +1 more source
Abstract The prototypical submanifold is a surface in ordinary space. There are various ways of describing surfaces in ordinary space.
openaire +1 more source
SUT Journal of Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Geometriae Dedicata, 1986
The author generalizes the definition of isoparametric submanifolds to higher codimensions as follows: a submanifold is isoparametric if the eigenvalues of the shape operator are constant along all parallel curves of normal vectors. Other definitions have been given by \textit{J. Eells} [On equivariant harmonic maps, Proc. Conf. Differ. Geom.
openaire +2 more sources
The author generalizes the definition of isoparametric submanifolds to higher codimensions as follows: a submanifold is isoparametric if the eigenvalues of the shape operator are constant along all parallel curves of normal vectors. Other definitions have been given by \textit{J. Eells} [On equivariant harmonic maps, Proc. Conf. Differ. Geom.
openaire +2 more sources
Journal of Geometric Analysis, 1994
Let \(M\) be a manifold endowed with a symmetric tensor field \(g\) of type \((0,2)\). Denote by \(S\) the set of points of degeneracy for \(g\). The author obtains an existence and uniqueness theorem for geodesics through \(S\) and existence and uniqueness theorems for parallel and Jacobi fields along these geodesics.
openaire +2 more sources
Let \(M\) be a manifold endowed with a symmetric tensor field \(g\) of type \((0,2)\). Denote by \(S\) the set of points of degeneracy for \(g\). The author obtains an existence and uniqueness theorem for geodesics through \(S\) and existence and uniqueness theorems for parallel and Jacobi fields along these geodesics.
openaire +2 more sources
Partial Stabilization of Input-Output Contact Systems on a Legendre Submanifold
IEEE Transactions on Automatic Control, 2017Hector Ramirez Estay +2 more
semanticscholar +1 more source