Differential Geometry, Global Analysis
Harmonic spaces, Geometric structures on manifolds, Spectral Geometry
학력
(PhD) 1990 Kanazawa University
약력/경력
April 2006 – Present, Professor at Sungkyunkwan University
January 2020 – May 2020, Visiting Scholar at University of California (Berkeley)
July 2018 – Dec 2019, Chair of Department of Mathematics (SKKU)
Sept. 2005. - March 2006, Associate Professor at Sungkyunkwan University
Feb. 2003. - Feb. 2004. Visiting Faculty at University of Oregon
Dec. 2002. - Feb. 2003. Visiting Faculty at University of Florida
Jan. 1997 - Feb. 1998. Visiting Faculty at University of Oregon
Sep. 1996 – Dec. 1996. Research Associate at Max Planck Institut (Bonn, Germany)
July 1991 - Aug. 2005. Associate Professor, Assistant Professor at Honam University
학술지 논문
(2023)
Maximal Domains of Radial Harmonic Functions.
MEDITERRANEAN JOURNAL OF MATHEMATICS.
20,
3
(2023)
Two theorems on the intersections of horospheres in asymptotically harmonic spaces.
REVISTA MATEMATICA COMPLUTENSE.
(2022)
Einstein Hypersurfaces in irreducible symmetric spaces.
ANNALI DI MATEMATICA PURA ED APPLICATA.
201,
6
(2022)
Curvature identities for Einstein manifolds of dimensions 5 and 6.
TURKISH JOURNAL OF MATHEMATICS.
46,
6
(2022)
On 2-Stein Submanifolds in Space Forms.
RESULTS IN MATHEMATICS.
77,
2
(2021)
Harmonic radial vector fields on harmonic spaces.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.
504,
2
(2021)
Totally geodesic submanifolds of Damek-Ricci spaces.
REVISTA MATEMATICA IBEROAMERICANA.
37,
4
(2021)
Einstein hypersurfaces of Damek-Ricci spaces.
JOURNAL OF GEOMETRY AND PHYSICS.
167,
(2020)
Harmonic Spaces and Density Functions.
RESULTS IN MATHEMATICS.
75,
3
(2020)
Einstein hypersurfaces of the Cayley projective plane.
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS.
69,
(2018)
Characterizing the harmonic manifolds by the eigenfunctions of the Laplacian.
JOURNAL OF GEOMETRY AND PHYSICS.
126,
Special SI
(2017)
A curvature identity on a 6-dimensional Riemannian manifold and its applications.
CZECHOSLOVAK MATHEMATICAL JOURNAL.
67,
1
(2017)
REAL ANALYTIC COMPLETE NON-COMPACT SURFACES IN EUCLIDEAN SPACE WITH FINITE TOTAL CURVATURE ARISING AS SOLUTIONS TO ODES.
TOHOKU MATHEMATICAL JOURNAL.
69,
1
(2016)
HARMONIC HADAMARD MANIFOLDS OF PRESCRIBED RICCI CURVATURE AND VOLUME ENTROPY.
KYUSHU JOURNAL OF MATHEMATICS.
70,
2
(2016)
H-contact unit tangent sphere bundles of Riemannian manifolds.
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS.
49,
(2016)
Anti-invariant Riemannian Submersions: A Lie-theoretical Approach.
TAIWANESE JOURNAL OF MATHEMATICS.
20,
4
(2015)
Euler-Lagrange formulas for pseudo-kaehler manifolds.
JOURNAL OF GEOMETRY AND PHYSICS.
99,
(2015)
EINSTEIN CONDITIONS FOR THE BASE SPACE OF ANTI-INVARIANT RIEMANNIAN SUBMERSIONS AND CLAIRAUT SUBMERSIONS.
TAIWANESE JOURNAL OF MATHEMATICS.
19,
4
(2015)
Analytic continuation, the Chern–Gauss–Bonnet theorem,and the Euler–Lagrange equations in Lovelock theory for indefinite signature metrics.
JOURNAL OF GEOMETRY AND PHYSICS.
88,
2
(2012)
Spectral geometry of eta-Einstein Sasakian manifolds.
JOURNAL OF GEOMETRY AND PHYSICS.
62,
11
단행본
(2021)
Aspects of Differential Geometry V.
Morgan & Claypool Publishers.
공동
(2019)
Aspects of Differential Geometry IV.
Morgan & Claypool Publishers (USA).
주저자
(2017)
Aspects of Differential Geometry Vol III.
Morgan & Claypool Publishers.
주저자
(2015)
Aspects of Differential Geometry II.
Morgan and Claypool Publishers.
주저자
(2015)
Aspects of Differential Geometry I.
Morgan and Claypool Publishers.
주저자
(2005)
누구나 할 수 있는 C프로그램 기초.
경문사.
단독
(1999)
Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture.
CRC Press(USA).
단독
(1999)
미분적분학.
경문사.
단독
(1998)
Spinors, Spectral Geometry, and Riemannian Submersions.
서울대학교수학연구소.
단독
(1997)
공업수학.
경문사.
단독
(1997)
대학수학.
경문사.
단독
수상/공훈
2009 JSPS Fellowship(Japan)
SBS Fellowship(2003)
Honam Math Soc. Award(1999)
학술회의논문
(2023)
Some analytic characterization of harmonic manifolds.
International conference on Einstein and harmonic manifolds.
대한민국
(2023)
Integrals on the intersections of horospheres in asymptotically harmonic spaces.
대한수학회 봄연구 발표회.
대한민국
(2022)
Curvature identities on Einstein manifolds.
2022 Global KMS International Conference.
대한민국
(2022)
Some characterization of harmonic manifolds.
2022 Global KMS International Conference.
대한민국
(2021)
A theorem on quasi contact metric manifolds.
대한수학회 추계 연구 발표회 I.
대한민국
(2021)
Nonexistence of Einstein hypersurfaces in Damek-Ricci spaces.
⋅2021년도 대한수학회 가을 연구 발표회 ISSN:2298-291X.
대한민국
(2021)
The 18th international geometry symposium, Turkey (online), July 12-13, 2021
-Einstein hypersurfaces in harmonc spaces (Plenary Speaker).
The 18th international geometry symposium.
튀르키예
(2020)
Totally geodesic submanifolds of Damek-Ricci spaces.
2020년 대한수학회 정기총회 및 가을 연구발표회.
대한민국
(2019)
Volume density function and submanifolds of harmonic manifolds.
Geometric Analysis and Homogeneous Geometry.
오스트레일리아
(2019)
Harmonic manifolds and Jacobi fields.
East Asian Core Doctoral Forum on Mathematics 2019.
일본
(2016)
Universal Curvature Identities and their applications.
The 7th Pacific RIM Conference on Mathematics.
대한민국
(2015)
On Antiinvariant Submersions.
대한수학회춘계발표회.
대한민국
(2015)
Curves in R^n with finite total curvature arising from the solutions of an ODE.
PNU MATH FORUM 2015.
대한민국
(2014)
Variations of almost Hermitian structures.
ICM 2014 Satellite Conference on Geometric Analysis.
대한민국
(2013)
Recent progress on curvature identities.
Tokyo-Seoul Conference in Mathematics.
일본
(2013)
Universal curvature identities.
Hot Topics Workshop on Differential Geometry and Mathematical Physics.
대한민국
(2009)
H-contact unit tangent sphere bundles.
International Conference for Women in Mathematics.
대한민국
(2007)
Spectral geometry and differential forms with finite fourier series.
International workshop on Differential geometry.
대한민국
(1997)
The spectral geometry of Hermitian submersions.
PacificNorthwest Geometry Seminar.
미국