Differential Geometry, Global Analysis
Harmonic spaces, Geometric structures on manifolds, Spectral Geometry
Journal Articles
(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
Publications
(2021)
Aspects of Differential Geometry V.
Morgan & Claypool Publishers.
Co-author
(2019)
Aspects of Differential Geometry IV.
Morgan & Claypool Publishers (USA).
Lead author
(2017)
Aspects of Differential Geometry Vol III.
Morgan & Claypool Publishers.
Lead author
(2015)
Aspects of Differential Geometry II.
Morgan and Claypool Publishers.
Lead author
(2015)
Aspects of Differential Geometry I.
Morgan and Claypool Publishers.
Lead author
(2005)
누구나 할 수 있는 C프로그램 기초.
경문사.
Solo
(1999)
Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture.
CRC Press(USA).
Solo
(1999)
미분적분학.
경문사.
Solo
(1998)
Spinors, Spectral Geometry, and Riemannian Submersions.
서울대학교수학연구소.
Solo
(1997)
공업수학.
경문사.
Solo
(1997)
대학수학.
경문사.
Solo
Conference Paper
(2023)
Some analytic characterization of harmonic manifolds.
International conference on Einstein and harmonic manifolds.
KOREA, REPUBLIC OF
(2023)
Integrals on the intersections of horospheres in asymptotically harmonic spaces.
대한수학회 봄연구 발표회.
KOREA, REPUBLIC OF
(2022)
Curvature identities on Einstein manifolds.
2022 Global KMS International Conference.
KOREA, REPUBLIC OF
(2022)
Some characterization of harmonic manifolds.
2022 Global KMS International Conference.
KOREA, REPUBLIC OF
(2021)
A theorem on quasi contact metric manifolds.
대한수학회 추계 연구 발표회 I.
KOREA, REPUBLIC OF
(2021)
Nonexistence of Einstein hypersurfaces in Damek-Ricci spaces.
⋅2021년도 대한수학회 가을 연구 발표회 ISSN:2298-291X.
KOREA, REPUBLIC OF
(2021)
The 18th international geometry symposium, Turkey (online), July 12-13, 2021
-Einstein hypersurfaces in harmonc spaces (Plenary Speaker).
The 18th international geometry symposium.
TURKEY
(2020)
Totally geodesic submanifolds of Damek-Ricci spaces.
2020년 대한수학회 정기총회 및 가을 연구발표회.
KOREA, REPUBLIC OF
(2019)
Volume density function and submanifolds of harmonic manifolds.
Geometric Analysis and Homogeneous Geometry.
AUSTRALIA
(2019)
Harmonic manifolds and Jacobi fields.
East Asian Core Doctoral Forum on Mathematics 2019.
JAPAN
(2016)
Universal Curvature Identities and their applications.
The 7th Pacific RIM Conference on Mathematics.
KOREA, REPUBLIC OF
(2016)
A generalization of contact metric manifolds and its applications.
East Asian Core Doctoal Forum on Mathematics, 2016.
CHINA
(2015)
On Antiinvariant Submersions.
대한수학회춘계발표회.
KOREA, REPUBLIC OF
(2015)
Curves in R^n with finite total curvature arising from the solutions of an ODE.
PNU MATH FORUM 2015.
KOREA, REPUBLIC OF
(2014)
Variations of almost Hermitian structures.
ICM 2014 Satellite Conference on Geometric Analysis.
KOREA, REPUBLIC OF
(2013)
Recent progress on curvature identities.
Tokyo-Seoul Conference in Mathematics.
JAPAN
(2013)
Universal curvature identities.
Hot Topics Workshop on Differential Geometry and Mathematical Physics.
KOREA, REPUBLIC OF
(2009)
H-contact unit tangent sphere bundles.
International Conference for Women in Mathematics.
KOREA, REPUBLIC OF
(2007)
Spectral geometry and differential forms with finite fourier series.
International workshop on Differential geometry.
KOREA, REPUBLIC OF
(1997)
The spectral geometry of Hermitian submersions.
PacificNorthwest Geometry Seminar.
UNITED STATES