Mathematics

Technical Publications

    1. Guan, Z. 1988. "Curvature on the Hermitian Symmetric Spaces". Acta Math. Sinica. p.270-283. (Refereed)  

    2. Dorfmeister, J., Guan, Z. 1991. "Fine Structure of Reductive Pseudo-Kahlerian Spaces". Geometrica Dedicata. p.321-338. (Refereed)  

    3. Dorfmeister, J., Guan, Z. 1992. "Classification of compact homogeneous pseudo-Kahler manifolds". Birkhauser Verlag. Basel. p.499-513. (Refereed)  

    4. Dorfmeister, J., Guan, Z. 1992. "Pseudo-Kahlerian homogeneous spaces admitting a reductive transitive group of automorphisms". Math. Zeitschrift. p.89-100. (Refereed)  

    5. Guan, Z. 1992. "Stability of Hermitian Vector Bundles - A Quantitative Point of View". Intern'l J. Math. p.477-481. (Refereed)  

    6. Dorfmeister, J., Guan, Z. 1992. "Supplement to 'Fine Structure of Reductive Pseudo-Kahlerian Spaces' (2)". Geom. Dedicata. p.241-242. (Refereed)  

    7. Guan, Z. 1995. "Quasi-Einstein Metrics". International J. of Math. p.371-379. (Refereed)  

    8. Guan, Z. 1995. "Existence of Extremal Metrics on Compact Almost Homogeneous Kahler Manifolds with Two Ends". Transactions of AMS. p.2255-2262. (Refereed)  

    9. Guan, Z. 1995. "Examples of Compact Holomorphic Symplectic Manifolds which are not Kahlerian III". International J. of Math. p.709-718. (Refereed)  

    10. Guan, Z. 1995. "Examples of Compact Holomorphic Symplectic Manifolds which are not Kahlerian II". Amer. J. Math. p.135-145. (Refereed)  

    11. Guan, Z. 1996. "A Splitting Theorem for Compact Complex Homogeneous Spaces with a Symplectic Structure". Geometrica Dedicata. p.217-225. (Refereed)  

    12. Guan, Z. 1997. "Toward a Classification of Almost Homogeneous Manifolds I --- Linearization of the Singular Extremal Rays". International J. of Math. p.999-1014. (Refereed)  

    13. Guan, Z. 1997. "Classification of Compact Homogeneous Spaces with Invariant Symplectic Structures". Electronic Research Announcements of the American Mathemtical Society. p.52-54. (Refereed) 

    14. Guan, Z. 1997. "Classification of Compact Complex Homogeneous Spaces with Invariant Volumes". Electronic Research Announcements of the American Mathematical Society. p.90-92. (Refereed)  

    15. Guan, Z. 1999. "Toward a Classification of Almost Homogeneous Manifolds II --- Bad Models". International J. Math. p.571-586. (Refereed)  

    16. Guan, Z. 1999. "On Modified Mabuchi Functional and Mabuchi Moduli Space of Kahler Metrics on Toric Bundles". Math. Research Letters. p.547-555. (Refereed)  

    17. Guan, Z. 2000. "Toward a Classification of Almost Homogeneous Manifolds III---SL(2)xC^* Actions". International J. Math. p.799-809. (Refereed)  

    18. Guan, Z., Chen, X. 2000. "Existence of Extremal Metrics on Almost Homogeneous Manifolds of Cohomogeneity One". Asian J. Math. p.817-830. (Refereed)  

    19. Guan, Z. 2001. "On the Betti Numbers of Irreducible Compact Hyperkahler Manifolds of Complex Dimension Four". Math. Res. Letters. p.663-669. (Refereed)  

    20. Guan, Z. 2002. "Classification of Compact Complex Homogeneous Spaces with Invariant Volumes". Transactions of AMS. p.4493-4504. (Refereed)  

    21. Guan, Z. 2002. "Existence of Extremal Metrics on Almost Homogeneous Manifolds of Cohomogeneity One -- II". The Journal of Geometric Analysis. p.63-79. (Refereed)  

    22. Guan, Z. 2003. "Existence of Extremal Metrics on Almost Homogeneous Manifolds of Cohomogeneity One --- III". Inter. Jour. of Math. p.259-287. (Refereed)  

    23. Guan, Z. 2003. "On Representation Theory and the Cohomology Rings of Irreducible Compact Hyperkahler Manifolds of Complex Dimension Four". Central European Journal of Math. p.661-669. (Refereed)  

    24. Guan, Z. 2004. "Toward a Classification of Compact Complex Homogeneous Spaces". Journal of Algebra. p.33-59. (Refereed)  

    25. Guan, Z. 2005. "On Compact Symplectic Manifolds with Lie Group Symmetries". Transactions of the American Mathematical Society. p.3359-3373. (Refereed)  

    26. Guan, Z. 2006. "Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one ---IV". Annals of Global Analysis and Geometry. p.139-167. (Refereed) 

    27. Guan, Z. 2006. "Extremal-solitons and Exponential C Convergence of the Modified Calabi Flow on Certain CP¹ Bundles". Pacific Journal of Math. 41p. (Refereed)