College of Science - College of Science

  • Professor
  • PARK, JEONGHYEONG 홈페이지 바로가기
  • +82-31-299-4521
  • parkj@skku.edu
  • Natural Sciences Building 1 2F 31251C

Research Interest

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