Zobrazeno 1 - 10
of 231
pro vyhledávání: '"IZUMIYA, Shyuichi"'
A surface in the Lorentz-Minkowski $3$-space is generally a mixed type surface, namely, it has the lightlike locus. We study local differential geometric properties of such a locus on a mixed type surface. We define a frame field along a lightlike lo
Externí odkaz:
http://arxiv.org/abs/2009.10399
We introduce the volume-preserving equivalence among symmetric matrix-valued map-germs which is the unimodular version of Bruce's $\mathcal{G}$-equivalence. The key concept to deduce unimodular classification out of classification relative to $\mathc
Externí odkaz:
http://arxiv.org/abs/2004.11941
Autor:
Izumiya, Shyuichi, Takeuchi, Nobuko
The pedal of a curve in the Euclidean plane is a classical subject which has a singular point at the inflection point of the original curve. The primitive of a curve is a curve given by the inverse construction for making the pedal. We consider relat
Externí odkaz:
http://arxiv.org/abs/1912.04728
Autor:
Izumiya, Shyuichi, Takeuchi, Nobuko
The pedal of a curve in the Euclidean plane is a classical subject which has a singular point at the inflection point of the original curve or the pedal point. The primitive of a curve is a curve given by the inverse construction for making the pedal
Externí odkaz:
http://arxiv.org/abs/1912.03114
We consider equivalence relations among smooth map germs with respect to geometry of G-structures on the target space germ. These equivalence relations are natural generalization of right-left equivalence (i.e., A-equivalence) in the sense of Thom-Ma
Externí odkaz:
http://arxiv.org/abs/1908.08232
Submanifolds in Lorentz-Minkowski space are investigated from various mathematical viewpoints and are of interest also in relativity theory. We define the hyperbolic surface and the de Sitter surface of a curve in the spacelike hypersurface M in the
Externí odkaz:
http://arxiv.org/abs/1907.01876
We consider developable surfaces along the singular set of a swallowtail which are considered to be flat approximations of the swallowtail. For the study of singularities of such developable surfaces, we introduce the notion of Darboux frames along s
Externí odkaz:
http://arxiv.org/abs/1709.06133
Autor:
Ito, Noriaki, Izumiya, Shyuichi
For a regular curve on a spacelike surface in Lorentz-Minkowski $3$-space, we have a moving frame along the curve which is called a Lorentzian Darboux frame. We introduce five special vector fields along the curve associated to the Lorentzian Darboux
Externí odkaz:
http://arxiv.org/abs/1601.05175
Autor:
Izumiya, Shyuichi
Anti-de Sitter space is the Lorentzian space form with negative curvature. In this paper we consider lightlike hypersurfaces along spacelike submanifolds in anti-de Sitter space with general codimension. In particular, we investigate the singularitie
Externí odkaz:
http://arxiv.org/abs/1510.06164
Autor:
Izumiya, Shyuichi
A world sheet in anti-de Sitter space is a timelike submanifold consisting of a one-parameter family of spacelike submanifolds. We consider the family of lightlike hypersurfaces along spacelike submanifolds in the world sheet. The locus of the singul
Externí odkaz:
http://arxiv.org/abs/1507.00428