label: url

en: Enumeration of hypergraphs

ja: Enumeration of hypergraphs

en: European Journal of Combinatorics

ja: European Journal of Combinatorics


en: Cameron's construction of two-graphs

ja: Cameron's construction of two-graphs

en: Discrete Mathematics

ja: Discrete Mathematics


en: Harmonic maps of nonorientable surfaces into four-dimensional manifolds

en: Tohoku Mathematical Journal

ja: Tohoku Mathematical Journal


en: Complete nonorientable minimal surfaces in R3

en: Transactions of American mathematical society


en: Complete Mobious Strips minimally immersed in R3

en: Proceedings of the American Mathematical Society


en: Complexity of goodness of dot patterns varying in symmetry

en: 実験Ⅰでは3×3行列と4×4行列中に配置されたドット·パターンに対する良さ評定，実験Ⅱでは亀甲模様の枠組中に配置されたドット·パターンに対する良さと複雑さの評定を行なった．実験Ⅰの結果は従来の良さ判断の理論(R&Rサブセット，変換構造説)では説明できない事実を示した．そこで，実験Ⅰと実験Ⅱの結果を総合して，パターンの良さと複雑さが対称変換群の位数の関数で表現できることを示した．

en: Psychological Research

ja: Psychological Research


en: Maximal spacelike submanifolds of pseudo-Riemannian space of constant curvature

en: Michigan Journal of Mathematics

ja: Michigan Journal of Mathematics


en: The Euler characteristics and Weyl's curvature invariants of submaniholds in spheres

en: Journal of Mathematical Society of Japan


en: Kinematic formulas for Weyl's curvature invariants of submanifolds in complex projective space

ja: Proceedings of the American Mathematical Society


en: Total curvature of Kaheler manifolds in complex projective spaces

en: Geometiae Dedicate

ja: Geometiae Dedicate


en: The Gauss map and nonholomorphic harmonic maps


en: Total curvature of manifolds in self-immersed manifolds

en: Manuscripta Mathematica

ja: Manuscripta Mathematica


en: Harmonic Gauss map in a generalaized sence

en: Journal of Londan matehmatical Society

ja: Journal of Londan matehmatical Society


en: Radii of immeresed manifolds and nonexistence of immersions


en: A mapping of Riemannian manifolds which preserves harmonic functions

en: Journal of Mathematics of Kyoto University


en: Riemanian submersion comuting with Laplacian

en: Journal of Differential Geometry

ja: Journal of Differential Geometry


en: The index of a holomorphic mappings of Riemannian manifolds

en: Proceedings of the American Mathematical Society


en: Harmonic quasiconformal mappings of Riemannian manifolds

en: American Journal of Mathematics

ja: American Journal of Mathematics


en: Mappings of bounded dilatation of Riemannian manifolds


en: Generalization of Shwarz-Alfors lemma to quasiconformal mappings

en: Proceedings of synmosia in pure mathematics


ja: Harmonic quasiconformal mappings of Riemannian manifolds

en: Bullein of American mathematical society


en: Local switching of signed induced cycles

en: Journal of Mathematics, The University of Tokushima


en: Local Switching of Some Signed Graphs

ja: Local Switching of Some Signed Graphs

ja: Journal of Mathematics, The University of Tokushima


en: Signed graphs associated with the latticed An


en: Decompsitions of Boolean functions and hypergraphs

en: Journal of Mathematics, Tokushima University


en: Harmonic maps of noborientable surfaces into complex grassmann manifolds

ja: Journal of Mathematics, Tokushima University


en: Nonexistence of projective plane immersed with some embeddiness


en: 亀甲模様の構造と複雑さおよび良さ判断

ja: 亀甲模様の構造と複雑さおよび良さ判断

en: 対称変換群(二面体群と巡回群)を生成する亀甲パターンを新たに考案して，パターンの複雑さと良さに関する評定実験を行なった．実験結果は今井の変換構造説では説明できない事実を示した．群論を導入して，パターンの複雑さは巡回群と二面体群の区別なしにパターンの生成する対称変換群の位数の単調減少関数として，一方パターンの良さは巡回群および二面体群の位数の単調増加関数として表現されることを発見した．

en: 徳島大学総合科学部創立記念論文集

ja: 徳島大学総合科学部創立記念論文集


en: A remark on harmonic quasiconformal mappings

en: K-quasiconformal mappings of Riemann surfaces was investigated by P.J. Kiernan in [2]. One of his interesting results is that harmonic K-quasiconformal mappings of certain Riemann surfaces are distance-decreasing. We shall discuss here harmonic K-quasiconformal mappings of n-dimensional Riemannian manifolds and generalize the above Kiernan's theorem to this case. In section 1 we review the theory of harmonic forms as found in [4]. Section 2 is devoted to get some lemmas which are used to prove our theorem in the last section. Concerning quasiconformal mappings, we use the fact given by H. Wu in [5].


en: On tensor-product structures and grassmannian structures


en: On almost projective structure

ja: On almost projective structure