Shintaro Akamine

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All published works

Action	Title	Year	Authors
+ PDF Chat	Null hypersurfaces as wave fronts in Lorentz–Minkowski space	2024	Shintaro Akamine Atsufumi Honda Masaaki Umehara Kotaro Yamada
+ PDF Chat	Isometric and anti-isometric classes of timelike minimal surfaces in Lorentz–Minkowski space	2024	Shintaro Akamine
+ PDF Chat	Singularities of generalized timelike minimal surfaces in Lorentz-Minkowski 3-space	2024	Shintaro Akamine
+	Duality of boundary value problems for minimal and maximal surfaces	2024	Shintaro Akamine Hiroki Fujino
+	Isometric and anti-isometric classes of timelike minimal surfaces in Lorentz-Minkowski space	2023	Shintaro Akamine
+ PDF Chat	Reflection Principles for Zero Mean Curvature Surfaces in the Simply Isotropic 3-space	2022	Shintaro Akamine Hiroki Fujino
+ PDF Chat	Extension of Krust theorem and deformations of minimal surfaces	2022	Shintaro Akamine Hiroki Fujino
+	Null hypersurfaces as wave fronts in Lorentz-Minkowski space	2022	Shintaro Akamine Atsufumi Honda Masaaki Umehara Kotaro Yamada
+	Reflection principles for zero mean curvature surfaces in the simply isotropic 3-space	2022	Shintaro Akamine Hiroki Fujino
+	Extension of Krust theorem and deformations of minimal surfaces	2021	Shintaro Akamine Hiroki Fujino
+ PDF Chat	Reflection principle for lightlike line segments on maximal surfaces	2020	Shintaro Akamine Hiroki Fujino
+	Null hypersurfaces in Lorentzian manifolds with the null energy condition	2020	Shintaro Akamine Atsufumi Honda Masaaki Umehara Kotaro Yamada
+ PDF Chat	Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz-Minkowski space using fluid mechanical duality	2020	Shintaro Akamine Masaaki Umehara Koji Yamada
+ PDF Chat	Bernstein-Type Theorem for Zero Mean Curvature Hypersurfaces Without Time-like Points in Lorentz–Minkowski Space	2020	Shintaro Akamine Atsufumi Honda Masaaki Umehara Koji Yamada
+	Reflection principle for lightlike line segments on maximal surfaces	2020	Shintaro Akamine Hiroki Fujino
+ PDF Chat	Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space	2019	Shintaro Akamine Masaaki Umehara Kotaro Yamada
+ PDF Chat	Behavior of the Gaussian curvature of timelike minimal surfaces with singularities	2019	Shintaro Akamine
+ PDF Chat	Wick rotations of solutions to the minimal surface equation, the zero mean curvature equation and the Born–Infeld equation	2019	Shintaro Akamine Rahul Kumar Singh
+ PDF Chat	Analysis of Timelike Thomsen Surfaces	2019	Shintaro Akamine Joseph Cho Yuta Ogata
+	Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz-Minkowski space using fluid mechanical duality	2019	Shintaro Akamine Masaaki Umehara Kotaro Yamada
+	Bernstein-type theorem for zero mean curvature hypersurfaces without time-like points in Lorentz-Minkowski space	2019	Shintaro Akamine Atsufumi Honda Masaaki Umehara Kotaro Yamada
+	Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space	2019	Shintaro Akamine Masaaki Umehara Kotaro Yamada
+	Duality of boundary value problems for minimal and maximal surfaces	2019	Shintaro Akamine Hiroki Fujino
+	Analysis of timelike Thomsen surfaces - with deformations and singularities	2018	Shintaro Akamine Joseph Cho Yuta Ogata
+	Geometry of Timelike Minimal Surfaces and Null Curves	2018	Shintaro Akamine
+	The number of catenoids connecting two coaxial circles in Lorentz-Minkowski space	2017	Shintaro Akamine Rafael López
+	Behavior of the Gaussian curvature of timelike minimal surfaces with singularities	2017	Shintaro Akamine
+	Wick rotations of solutions to the minimal surface equation, the zero mean curvature equation and the Born-Infeld equation	2017	Shintaro Akamine Rahul Kumar Singh
+	On the diagonalizability of the shape operator of timelike minimal surfaces in Lorentz-Minkowski 3-space	2017	Shintaro Akamine
+ PDF Chat	CAUSAL CHARACTERS OF ZERO MEAN CURVATURE SURFACES OF RIEMANN TYPE IN THE LORENTZ-MINKOWSKI 3-SPACE	2017	Shintaro Akamine
+	Causal characters of zero mean curvature surfaces of Riemann type in the Lorentz-Minkowski 3-space	2015	Shintaro Akamine

Common Coauthors

Coauthor	Papers Together
Masaaki Umehara	9
Hiroki Fujino	8
Kotaro Yamada	7
Atsufumi Honda	5
Yuta Ogata	2
Koji Yamada	2
Rahul Kumar Singh	2
Joseph Cho	2
Rafael López	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Maximal surfaces with singularities in Minkowski space	2006	Masaaki Umehara Kotaro Yamada	14
+	Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics	2013	Shoichi Fujimori Young Wook Kim Sung-Eun Koh Wayne Rossman Heayong Shin Masaaki Umehara Kotaro Yamada Seong-Deog Yang	11
+ PDF Chat	SPACELIKE MAXIMAL SURFACES, TIMELIKE MINIMAL SURFACES, AND BJÖRLING REPRESENTATION FORMULAE	2011	Young‐Wook Kim Sung Eun Koh Heayong Shin Seong-Deog Yang	11
+	Zero mean curvature surfaces in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="bold">L</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math> containing a light-like line	2012	Shoichi Fujimori Y. W. Kim Sung Eun Koh Wayne Rossman Hyeonjoon Shin Hiroaki Takahashi Masaaki Umehara Koji Yamada Seong-Deog Yang	10
+	Zero mean curvature surfaces of mixed type in Minkowski space	2003	V. A. Klyachin	9
+ PDF Chat	Maximal Surfaces in the 3-Dimensional Minkowski Space $L^3$	1983	Osamu Kobayashi	8
+ PDF Chat	Maximal surfaces of Riemann type in Lorentz-Minkowski space L3.	2000	Francisco J. López Rafael López Rabah Souam	7
+	Maximal Space-like Hypersurfaces in the Lorentz-Minkowski Spaces	1976	Shiu‐Yuen Cheng Shing‐Tung Yau	7
+	Hypersurfaces with Light-Like Points in a Lorentzian Manifold	2018	Masaaki Umehara Koji Yamada	7
+	Generalized maximal surfaces in Lorentz–Minkowski space L<sup>3</sup>	1992	Francisco J. Martínez Estudillo Alfonso Romero	6
+ PDF Chat	On the uniqueness of the helicoid and Enneper’s surface in the Lorentz-Minkowski space $\mathbb \{R\}\textunderscore \{1\}^\{3\}$	2011	Isabel Fernández Francisco J. López	6
+	Entire zero-mean curvature graphs of mixed type in Lorentz–Minkowski 3-space	2016	Shoichi Fujimori Yu Kawakami Masatoshi Kokubu Wayne Rossman Masaaki Umehara Kotaro Yamada	5
+ PDF Chat	Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space	2019	Shintaro Akamine Masaaki Umehara Kotaro Yamada	5
+ PDF Chat	CAUSAL CHARACTERS OF ZERO MEAN CURVATURE SURFACES OF RIEMANN TYPE IN THE LORENTZ-MINKOWSKI 3-SPACE	2017	Shintaro Akamine	5
+	The extremal surfaces in the 3-dimensional Minkowski space	1985	Chaohao Gu	5
+	A Weierstrass representation theorem for Lorentz surfaces	2005	Jerzy J. Konderak	4
+	Behavior of the Gaussian curvature of timelike minimal surfaces with singularities	2017	Shintaro Akamine	4
+	Prescribing singularities of maximal surfaces via a singular Björling representation formula	2007	Young Wook Kim Seong-Deog Yang	4
+	An Introduction to Lorentz Surfaces	1996	Tilla Weinstein	4
+ PDF Chat	Examples of Bernstein problems for some nonlinear equations	1970	Eugenio Calabi	4
+ PDF Chat	Totally quasi-umbilic timelike surfaces in $\mathbb{R}^{1,2}$	2012	Jeanne N. Clelland	4
+ PDF Chat	Timelike surfaces with constant mean curvature in Lorentz three-space	2000	Rafael López	4
+	Extensions of the duality between minimal surfaces and maximal surfaces	2010	Hojoo Lee	4
+ PDF Chat	Maximal surfaces with conelike singularities	1984	Osamu Kobayashi	4
+	Zero mean curvature surfaces in Lorentz--Minkowski 3-space which change type across a light-like line	2015	Shoichi Fujimori Y. W. Kim Sung Eun Koh Wayne Rossman Hyeonjoon Shin Masaaki Umehara Koji Yamada Seong-Deog Yang	4
+	Non-convex anisotropic surface energy and zero mean curvature surfaces in the Lorentz-Minkowski space	2013	Atsufumi Honda Miyuki Koiso Yasuhiro Tanaka	3
+	Mathematical Aspects of Subsonic and Transonic Gas Dynamics.	1960	S. S. Shu Lipman Bers	3
+	HARMONIC MAPPINGS IN THE PLANE (Cambridge Tracts in Mathematics 156)	2007	Олли Мартио	3
+ PDF Chat	Timelike Minimal Surfaces via Loop Groups	2004	Jun‐ichi Inoguchi Magdalena Toda	3
+	TOTALLY QUASI-UMBILIC TIMELIKE SURFACES IN R 1;2	2010	Jeanne N. Clelland	3
+	A survey of minimal surfaces	1969	Robert Osserman	3
+	Surfaces with light-like points in Lorentz-Minkowski 3-space with applications	2017	Masaaki Umehara Kotaro Yamada	3
+ PDF Chat	Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz-Minkowski space using fluid mechanical duality	2020	Shintaro Akamine Masaaki Umehara Koji Yamada	3
+	Variational problems of minimal surface type II. Boundary value problems for the minimal surface equation	1966	Howard Jenkins James Serrin	3
+	Harmonic Mappings with Given Dilatation	1986	Walter Hengartner Glenn Schober	3
+ PDF Chat	The space of complete embedded maximal surfaces with isolated singularities in the 3-dimensional Lorentz-Minkowski space	2005	Isabel Fernández Francisco J. López Rabah Souam	3
+ PDF Chat	Wick rotations of solutions to the minimal surface equation, the zero mean curvature equation and the Born–Infeld equation	2019	Shintaro Akamine Rahul Kumar Singh	3
+	Bicomplex extensions of zero mean curvature surfaces in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e35" altimg="si4.gif"><mml:msup><mml:mrow><mml:mi mathvariant="bold">R</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e49" altimg="si5.gif"><mml:msup><mml:mrow><mml:mi …	2019	Kaname Hashimoto Shin Kato	3
+	Timelike Bonnet surfaces in Lorentzian space forms	2002	Atsushi Fujioka Jun‐ichi Inoguchi	3
+	How many maximal surfaces do correspond to one minimal surface?	2008	Henrique Araújo Maria Luiza Leite	3
+	Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz-Minkowski space using fluid mechanical duality	2019	Shintaro Akamine Masaaki Umehara Kotaro Yamada	3
+	Harmonic Mappings in the Plane	2004	Peter Duren	3
+	Björling problem for maximal surfaces in Lorentz–Minkowski space	2003	Luis J. Alı́as Rosa M. B. Chaves Pablo Mira	3
+	Differentialgeometrie des isotropen Raumes. III. Fl�chentheorie	1942	K. Strubecker	2
+ PDF Chat	Flat surfaces with singularities in Euclidean 3-space	2009	Satoko Murata Masaaki Umehara	2
+ PDF Chat	On embedded complete minimal surfaces of genus zero	1991	Francisco J. López Antonio R�os	2
+	Timelike Thomsen Surfaces	1991	Martin A. Magid	2
+	Area maximizing hypersurfaces in Minkowski space having an isolated singularity	1986	Klaus Ecker	2
+ PDF Chat	Entire timelike minimal surfaces in $E^{3,1}$.	1990	Tilla Klotz Milnor	2
+ PDF Chat	New Maximal Surfaces in Minkowski 3-Space with Arbitrary Genus and Their Cousins in de Sitter 3-Space	2009	Shoichi Fujimori Wayne Rossman Masaaki Umehara Kotaro Yamada Seong-Deog Yang	2