• 한국수학교육학회지시리즈B:순수및응용수학
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• 제26권4호
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• pp.215-231
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• 2019

In this paper, we establish some ĆIRIC type fixed point theorems in α-complete and orbitally T-complete non-Archimedean modular metric spaces. Meanwhile, we present an illustrative example to emphasis the realized improvements. These obtained results extend and improve certain well known results in the literature.

• 대한수학회보
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• 제59권5호
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• pp.1167-1176
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• 2022

In this paper, we study Einstein-type manifolds generalizing static spaces and V-static spaces. We prove that if an Einstein-type manifold has non-positive complete divergence of its Weyl tensor and non-negative complete divergence of Bach tensor, then M has harmonic Weyl curvature. Also similar results on an Einstein-type manifold with complete divergence of Riemann tensor are proved.

• 호남수학학술지
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• 제33권2호
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• pp.143-152
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• 2011

In this paper, we prove some common fixed point theorems for finite number of discontinuous, non-compatible mapping on non-complete intuitionistic fuzzy metric spaces and obtain the example. Our research improve, extend and generalize several known results in intuitionistic fuzzy metric spaces.

• 대한수학회논문집
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• 제38권4호
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• pp.1233-1247
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• 2023

The aim of the present paper is to study complete lifts of a semi-symmetric non-metric connection from a Riemannian manifold to its tangent bundles. Some curvature properties of a Riemannian manifold to its tangent bundles with respect to such a connection have been investigated.

• Journal of Microbiology and Biotechnology
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• 제26권1호
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• pp.207-212
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• 2016

PacBio's long-read sequencing technologies can be successfully used for a complete bacterial genome assembly using recently developed non-hybrid assemblers in the absence of second-generation, high-quality short reads. However, standardized procedures that take into account multiple pre-existing second-generation sequencing platforms are scarce. In addition to Illumina HiSeq and Ion Torrent PGM-based genome sequencing results derived from previous studies, we generated further sequencing data, including from the PacBio RS II platform, and applied various bioinformatics tools to obtain complete genome assemblies for five bacterial strains. Our approach revealed that the hierarchical genome assembly process (HGAP) non-hybrid assembler resulted in nearly complete assemblies at a moderate coverage of ~75x, but that different versions produced non-compatible results requiring post processing. The other two platforms further improved the PacBio assembly through scaffolding and a final error correction.

• 대한수학회보
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• 제55권3호
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• pp.851-863
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• 2018

We derive lower bounds of the scalar curvature on complete non-compact gradient Yamabe solitons under some integral curvature conditions. Based on this, we prove that potential functions of Yamabe solitons have at most quadratic growth for distance function. We also obtain a finite topological type property on complete shrinking gradient Yamabe solitons under suitable scalar curvature assumptions.

• Korean Journal of Mathematics
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• 제4권1호
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• pp.1-5
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• 1996

A strong Banach-Mackey property is established for ${\kappa}$-spaces including all complete and some non-complete metric linear spaces and some non-metrizable locally convex spaces. As applications of this result, a strong uniform boundedness result and a new Banach-Steinhaus type theorem are obtained.

• Korean Journal of Mathematics
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• 제22권3호
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• pp.491-500
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• 2014

The base of a signed digraph S is the minimum number k such that for any vertices u, v of S, there is a pair of walks of length k from u to v with different signs. Let K be a signed complete graph of order n, which is a signed digraph obtained by assigning +1 or -1 to each arc of the n-th order complete graph $K_n$ considered as a digraph. In this paper we show that for $n{\geq}3$ the base of a primitive non-powerful signed complete graph K of order n is 2, 3 or 4.

• 대한수학회보
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• 제46권6호
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• pp.1213-1219
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• 2009

Let M$^n$ be a complete oriented non-compact minimally immersed submanifold in a complete Riemannian manifold N$^{n+p}$ of nonnegative curvature. We prove that if M is super-stable, then there are no non-trivial L$^2$ harmonic one forms on M. This is a generalization of the main result in [8].

• 대한수학회논문집
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• 제10권2호
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• pp.357-363
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• 1995

We study non-existence of $L^2$-harmonic p-forms on a complete, non-compact Riemannian manifold without boundary as extension of results of K. Yano in the case of compact.