- P-ISSN1226-0657
- E-ISSN2287-6081
- KCI
ISSN : 1226-0657
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19권 3호
초록
Abstract
We study lightlike submanifolds M of a semi-Riemannian manifold <TEX>$\bar{M}$</TEX> with a semi-symmetric non-metric connection subject to the conditions; (a) the characteristic vector field of <TEX>$\bar{M}$</TEX> is tangent to M, (b) the screen distribution on M is totally umbilical in M and (c) the co-screen distribution on M is conformal Killing.
초록
Abstract
In this article, we study generalized slant cylindrical surfaces (GSCS's) with pointwise 1-type Gauss map of the first and second kinds. Our main results state that the right circular cones are the only rational kind GSCS's with pointwise 1-type Gauss map of the second kind.
초록
Abstract
For each submanifold X in the sphere <TEX>$S^n$</TEX>; we show that the corresponding conormal bundle <TEX>$N^*X$</TEX> is Lagrangian for the Stenzel form on <TEX>$T^*S^n$</TEX>. Furthermore, we correspond an austere submanifold X to a special Lagrangian submanifold <TEX>$N^*X$</TEX> in <TEX>$T^*S^n$</TEX>. We also discuss austere submanifolds in <TEX>$S^n$</TEX> from isoparametric geometry.
초록
Abstract
Based on the theory of a falling shadow which was first formulated by Wang([14]), a theoretical approach of the ideal structure in BH-algebras is established. The notions of a falling subalgebra, a falling ideal, a falling strong ideal, a falling <TEX>$n$</TEX>-fold strong ideal and a falling translation ideal of a BH-algebra are introduced. Some fundamental properties are investigated. Relations among a falling subalgebra, a falling ideal and a falling strong ideal, a falling <TEX>$n$</TEX>-fold strong ideal are stated. A relation between a fuzzy subalgebra/ideal and a falling subalgebra/ideal is provided.
초록
Abstract
We introduce the concept of fuzzy <TEX>$r$</TEX>-minimal <TEX>${\beta}$</TEX>-open set on a fuzzy minimal space and basic some properties. We also introduce the concept of fuzzy <TEX>$r-M$</TEX> <TEX>${\beta}$</TEX>-continuous mapping which is a generalization of fuzzy <TEX>$r-M$</TEX> continuous mapping and fuzzy <TEX>$r-M$</TEX> semicontinuous mapping, and investigate characterization for the continuity.
초록
Abstract
In this paper, we construct an extension (<TEX>$kX$</TEX>, <TEX>$k_X$</TEX>) of a space X such that <TEX>$kX$</TEX> is a weakly Lindel<TEX>$\ddot{o}$</TEX>ff space and for any continuous map <TEX>$f:X{\rightarrow}Y$</TEX>, there is a continuous map <TEX>$g:kX{\rightarrow}kY$</TEX> such that <TEX>$g|x=f$</TEX>. Moreover, we show that <TEX>${\upsilon}X$</TEX> is Lindel<TEX>$\ddot{o}$</TEX>ff if and only if <TEX>$kX={\upsilon}X$</TEX> and that for any P'-space X which is weakly Lindel<TEX>$\ddot{o}$</TEX>ff, <TEX>$kX={\upsilon}X$</TEX>.
초록
Abstract
In this paper, the author defines a new generalized <TEX>${\eta}$</TEX>, <TEX>${\delta}$</TEX>, <TEX>${\alpha}$</TEX>)-pseudomonotone mapping and considers the equivalence of Stampacchia-type vector variational-like inequality problems and Minty-type vector variational-like inequality problems for generalized (<TEX>${\eta}$</TEX>, <TEX>${\delta}$</TEX>, <TEX>${\alpha}$</TEX>)-pseudomonotone mappings in Banach spaces, called the generalized vector Minty's lemma.
초록
Abstract
We research the properties of solutions of general higher order non-homogeneous linear differential equations and apply the hyper order to obtain more precise estimation for the growth of solutions of infinite order.
초록
Abstract
There are several types of orders in a Quaternion algebra. Generally, zeta functions defined on orders of a Quaternion algebra give some informations on the ideal theory of orders. In this study, we investigate functional equalities between the zeta functions defined on orders of a Quaternion algebra.
초록
Abstract
In this note we study Nesbitt's Inequality and modify it to make several inequalities. We prove some inequalities by using power series and Cauchy-Schwarz Inequality.