Search Results - "Kokubu, Masatoshi"
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1
Flat fronts with polyhedral symmetry in hyperbolic three-space
Published in Journal of geometry (01-04-2022)“…Flat fronts with symmetry similar to regular polyhedrons are studied. A flat front is a flat surface in hyperbolic three-space admitting a certain kind of…”
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2
Surfaces with concentric or parallel K-contours
Published in Journal of geometry (01-08-2024)“…Surfaces with concentric K -contours and parallel K -contours in Euclidean 3-space are defined. Crucial examples are presented and characterization of them are…”
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3
Entire zero-mean curvature graphs of mixed type in Lorentz–Minkowski 3-space
Published in Quarterly journal of mathematics (01-12-2016)Get full text
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Singularities of flat fronts in hyperbolic space
Published in Pacific journal of mathematics (01-10-2005)Get full text
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Orientability of linear Weingarten surfaces, spacelike CMC-1 surfaces and maximal surfaces
Published in Mathematische Nachrichten (01-10-2011)“…We prove several topological properties of linear Weingarten surfaces of Bryant type, as wave fronts in hyperbolic 3‐space. For example, we show the…”
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Addendum: Singularities of flat fronts in hyperbolic space
Published in Pacific journal of mathematics (20-02-2018)Get full text
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Mixed type surfaces with bounded mean curvature in 3-dimensional space-times
Published in Differential geometry and its applications (01-06-2017)“…In this paper, we shall prove that space-like surfaces with bounded mean curvature functions in real analytic Lorentzian 3-manifolds can change their causality…”
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8
Surfaces with concentric or parallel $K$-contours
Published 21-04-2024“…Surfaces with concentric $K$-contours and parallel $K$-contours in Euclidean $3$-space are defined. Crucial examples are presented and characterization of them…”
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9
Application of a unified Kenmotsu-type formula for surfaces in Euclidean or Lorentzian three-space
Published 15-11-2017“…Kenmotsu's formula describes surfaces in Euclidean 3-space by their mean curvature functions and Gauss maps. In Lorentzian 3-space, Akutagawa-Nishikawa's…”
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10
Quadrics and Scherk towers
Published in Monatshefte für Mathematik (2018)“…We investigate the relation between quadrics and their Christoffel duals on the one hand, and certain zero mean curvature surfaces and their Gauss maps on the…”
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Flat fronts in hyperbolic 3-space
Published in Pacific journal of mathematics (01-09-2004)Get full text
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12
Analytic extensions of constant mean curvature one geometric catenoids in de Sitter 3-space
Published 12-11-2020“…We show that a certain simply-stated notion of "analytic completeness" of the image of a real analytic map implies the map admits no analytic extension. We…”
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13
Mixed type surfaces with bounded mean curvature in 3-dimensional space-times
Published 11-08-2015“…In this paper, we shall prove that space-like surfaces with bounded mean curvature functions in real analytic Lorentzian 3-manifolds can change their causality…”
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14
Surfaces and fronts with harmonic-mean curvature one in hyperbolic three-space
Published 07-04-2005“…We investigate surfaces with constant harmonic-mean curvature one (HMC-1 surfaces) in hyperbolic three-space. We allow them to have certain kinds of…”
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15
Orientability of linear Weingarten surfaces, spacelike CMC-1 surfaces and maximal surfaces
Published 13-07-2009“…We prove several topological properties of linear Weingarten surfaces of Bryant type, as wave fronts in hyperbolic 3-space. For example, we show the…”
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16
Quadrics and Scherk towers
Published 09-01-2017“…We investigate the relation between quadrics and their Christoffel duals on the one hand, and certain zero mean curvature surfaces and their Gauss maps on the…”
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17
Zero mean curvature entire graphs of mixed type in Lorentz-Minkowski 3-space
Published 25-11-2015“…It is classically known that the only zero mean curvature entire graphs in the Euclidean 3-space are planes, by Bernstein's theorem. A surface in…”
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18
Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space
Published 19-09-2015“…The Jorge-Meeks $n$-noid ($n\ge 2$) is a complete minimal surface of genus zero with $n$ catenoidal ends in the Euclidean 3-space $\boldsymbol{R}^3$, which has…”
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19
Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space
Published 23-07-2015“…Catenoids in de Sitter $3$-space $S^3_1$ belong to a certain class of space-like constant mean curvature one surfaces. In a previous work, the authors…”
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ON MINIMAL SUBMANIFOLDS IN PRODUCT MANIFOLDS WITH A CERTAIN RIEMANNIAN METRIC
Published in Tsukuba journal of mathematics (01-06-1996)“…We generalize Ejiri's theorem about minimal submanifolds in warped product manifolds and see that there exist minimal immersions of the plane and the catenoid…”
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