Research keywords (6):
Geometric analysis
, Minimal Surface
, Gauss Map
, Value Distribution Theory
, Differential Geometry
, Complex Analysis
Research theme for competitive and other funds (10):
2023 - 2027 Development of differential geometric study of surfaces starting from the value distribution of the Gauss map
2019 - 2023 Study of value distribution of Gauss maps and its applications to global property of immersed surfaces in space forms
2015 - 2019 Development of value distribution theory of Gauss maps of immersed surfaces in space forms and their applications to global property of surfaces
2013 - 2017 Potential theory on space complexity and ideal boundary
2013 - 2017 New methods on geometric analysis of variational problems for surfaces
2012 - 2015 A study on the relationship between the global property of immersed surfaces in space forms and the behavior of their Gauss maps
2011 - 2015 Grassmann geomety of surfaces in a Riemannian symmetric space
2010 - 2015 Geometry of curves, surfaces and hypersurfaces with singularities
2009 - 2014 Weierstrass-type representation formulas and their application to surfaces with singularities
2009 - 2011 A study on global properties of immersed surfaces in space forms from the viewpoint of their Gauss maps
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Papers (25):
Yu Kawakami, Kaito Satake. A note on isothermic coordinate systems for spacelike surfaces with constant mean curvature in Lorentz-Minkowski space. Kobe Journal of Mathematics. 2026. 43. 7-18
Shunsuke Kasao, Yu Kawakami. Bloch-Ros Principle and its Application to Surface Theory. Bulletin of the Malaysian Mathematical Sciences Society. 2025
Yu Kawakami, Mototsugu Watanabe. The Gauss Images of Complete Minimal Surfaces of Genus Zero of Finite Total Curvature. The Journal of Geometric Analysis. 2024. 34. 9
Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu. Surfaces with concentric or parallel K-contours. Journal of Geometry. 2024. 115. 2
Fujimori, S., Kawakami, Y., Kokubu, M., Rossman, W., Umehara, M., Yamada, K., Yang, S.-D. Analytic extensions of constant mean curvature one geometric catenoids in de Sitter 3-space. Differential Geometry and Its Application. 2022. 84. 101924-101924
Further progress in value distribution theory of the Gauss map of minimal surfaces
(Geometry of submanifolds and their discretizations 2024)
Heinz-type mean curvature estimate and its applications
(Application of Harmonic Maps and Higgs Bundles to Differential Geometry 2022)
Recent advances in value distribution of complete minimal surfaces in Euclidean space
(Workshop on Differential Geometry and Geometric Analysis 2022)
Value Distribution Theory for the Gauss Maps of Several Classes of Surfaces
(The 2nd International Conference "Geometry of Submanifolds and Integrable Systems" 2019)
Global properties for the Gauss images of various classes of surfaces
(The 3rd Japan-China Geometry Conference 2017)
2025/04 - 現在 The Japan Society for Industrial and Applied Mathematics (JSIAM) Secretary, Division of Geometric Shape Modeling
2022/04 - 現在 The Mathematical Society of Japan (MSJ) Member, Extended Steering Committee of the Geometry Section
2023/04 - 2025/03 Ishikawa Prefecture Professor, Center for Teacher Professional Development
Awards (1):
2017/10 - Nagoya university The 6th Hida Award (Student Encouragement Prize) of the Nagoya University Alumni Association for Mathematical Sciences The geometry of surfaces, particularly the value-distribution theory of the Gauss map
Association Membership(s) (2):
The Japan Society for Industrial and Applied Mathematics (JSIAM)
, THE MATHEMATICAL SOCIETY OF JAPAN