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Coisotropic Submanifolds of a Semi-Riemannian Manifold
Semi-Riemannian manifold Lightlike submanifolds Coisotropic submanifolds
2010/2/26
In this paper, we study coisotropic submanifolds of a semi-Riemannian manifold. We investigate the integrability condition of the screen distribution and give a necessary and sufficient condition on R...
On Invariant Submanifolds of Riemannian Warped Product Manifold
Riemannian Warped Product Manifold Vertical and Horizontal Distributions Pseudo-Umbilical Submanifold Curvature-Invariant Submanifold
2010/3/1
In this paper, we generalize the geometry of the invariant submanifolds of Riemannian product manifold to the geometry of the invariant submanifolds of Riemannian warped product manifold. We investiga...
On Lightlike Hypersurfaces of a Semi-Riemannian Space form
Lightlike Hypersurfaces Semi-Riemannian Space form
2010/3/1
In this paper, we study a Lightlike hypersurface of a semi-Riemann manifold. We show that a lightlike hypersurface is totally geodesic if and only if it is locally symmetric. Also, we show that a ligh...
On Some Class of Hypersurfaces in \Bbb{E}n+1 Satisfying Chen's Equality
Chen's equality semisymmetric pseudosymmetric manifold hypersurface
2010/3/1
In this paper we study pseudosymmetry type hypersurfaces in the Euclidean space \Bbb{E}n+1 satisfying B. Y. Chen's equality.
A compact Riemann surface X of genus g is called an (M-1)-surface if it admits an anticonformal involution that fixes g simple closed curves, the second maximum number by Harnack's theorem. If X also ...
On an Application of the Hardy Classes to the Riemann Zeta-Function
Riemann zeta-function Hardy class Poisson representation
2010/3/1
We show that the function f(z) : = \frac{z}{1-z} z (\frac{1}{1-z}), |z| < 1, belongs to the Hardy class Hp if and only if 0 < p < 1.
On the Lebesgue Measure of Self-Affine Sets
Multi-attractors self-affine tiles iterated function systems
2010/3/1
Flaherty and Wang studied Haar-type multiwavelets and multi-tiles. The information on what digit sets give multi-attractors with positive Lebesgue measure is very limited. In this note, we give a few ...
Diagonal Lift in the Cotangent Bundle and its Applications
Cotangent bundle Riemannian metric diagonal lift Levi-Civita connection B-manifold Killing vector field geodesic
2010/3/1
The purpose of this paper is to define a diagonal lift \mathcal{D }g of a Riemannian metric g of a manifold Mn to the cotangent bundle T*(Mn) of Mn, to associate with \mathcal{D}g an Levi-Civita conne...
A Class of Monoids Embeddable in a Group
Embedding monoid presentation group presentation geometric braids
2010/3/1
In this paper, we develop a new method to show that a monoid, given by a certain kind of presentation, embeds in a group. A mathematical device called the diamond condition was used in [5] to prove th...
Some Graph Type Hypersurfaces in a Semi-Euclidean Space
graph lightlike hypersurface minimal semi-Euclidean space totally geodesic
2010/3/1
We consider some graph type hypersurfaces in a semi-Euclidean space \Bbb Rn+1q and give conditions of the dimension n+1 and the index q when a hypersurface is lightlike, totally geodesic and minimal.
The Pitch and the Angle of Pitch of a Closed Nonnull Ruled Hypersurface Whose Generator is Spacelike in Rk+21
Nonnull Ruled Hypersurface Rk+21
2010/3/1
In this paper, the pitch and the angle of pitch of a closed nonnull ruled hypersurface whose generators are spacelike are calculated in Rk+21 .
We consider the class SH(D,W ) of complex functions f which are univalent, harmonic, sense preserving on a simple connected domain D\neq {\Bbb C} \ containing the origin, satisfy f(0)=a0, f\bar z(0)=0...