University of California, Riverside

Yat Sun Poon



Publications


Below is Dr. Poon’s list of publication in chronological order with links to PDF files of the papers.
To search for his latest publication, please visit: http://arxiv.org/find/math. Most of his publications outside Statistics are also reviewed by the Mathematical Reviews of American Mathematical Society.

 

  • Yat Sun Poon. Compact Self-Dual Manifolds With Positive Scalar Curvature. J. Differential Geom. 24: p.97-132. (1986).       | PDF |

  • Yat Sun Poon. Algebraic Dimension of Twistor Spaces. Math. Ann. 282: p.621-627. (1988).
    PDF |

  • Henrik Pedersen, Yat Sun Poon. Hyper-Kahler Metrics and a Generalization of the Bogomolny Equations. Commun. Math. Phys. 117: p.569-580. (1988).
    PDF |

  • Henrik Pedersen, Yat Sun Poon. Twistorial Construction of Quaternionic Manifolds. Proceedings of the Sixth International Colloquium of Differential Geometry. p.207-218. (1988).
    | PDF |

  • Yat Sun Poon. Self-Duality, Twistor Theory, Its Generalization and Application. Contemporary Mathematics. p.125-146.(1989). 
    | PDF |

  • Claude LeBrun, Yat Sun Poon, R. O. Wells, Jr. Projective Embeddings of Complex Supermanifolds. Commun. Math Phys. 126: p.433-452. (1990).
    | PDF |

  • Henrik Pedersen, Yat Sun Poon. Kahler Surfaces with Zero Scalar Curvature. Class. Quantum Grav. Vol. 7: p.1707-1719. 1990. 
    | PDF |

  • Claude LeBrun, Yat Sun Poon. Self-Dual Manifolds with Symmetry. Proceeding of Symposia in Pure Mathematics 54. Amer. Math. Soc., Providence, RI. p.365-377. (1990).
    | PDF |

  • Yat Sun Poon. Twistor Spaces with Meromorphic Functions. Proceedings of the American Mathematical Society. 111: p.331-338. (1991).
    | PDF |

  • Yat Sun Poon, Simon Salamon. Quaternionic Kahler 8-Manifolds with Positive Scalar Curvature. J. Differential Geometry. 33: p.363-378. (1991).
    | PDF |

  • Henrik Pedersen, Yat Sun Poon. Hamiltonian constructions of Kahler-Einstein Metrics and Kahler Metrics of Constant Scalar Curvature. Comm. Math. Phys. 136:  p.309-326. (1991).
    | PDF |

  • Krzysztof Galicki, Yat Sun Poon. Duality and Yang-Mills Fields on Quaternionic Kahler Manifolds. J. Math. Phys. 32: p.1263-1268. (1991).
    | PDF |

  • Claude LeBrun, Yat Sun Poon. Twistors, Kahler Manifolds, and Bimeromorphic Geometry II. J. Amer. Math. Soc. 2: p.317-325. (1992).
    | PDF |

  • Yat Sun Poon. On the Algebraic Structure of Twistor Spaces. J. Differential Geom. 36: p.451-491. (1992).
    | PDF |

  • Henrik Pedersen, Yat Sun Poon,  Andrew Swann. The Einstein-Weyl Equations in Complex and Quaternionic Geometry. Differential Geom. Appl. 3: p.309-321. (1993).
    | PDF |

  • Yat Sun Poon. Conformal Transformations of Compact Self-Dual Manifolds. Internat. J. Math. 5: p.125-140. (1994).
    | PDF |

  • Henrik Pedersen, Yat Sun Poon,  Andrew Swann. The Hitchin-Thorpe Inequality for Einstein-Weyl Manifolds. Bull. London Math. Soc. 26: p.191-194. (1994).
    | PDF |

  • Henrik Pedersen, Yat Sun Poon.  Self-Duality and Differentiable Structures on the Connected Sum of Complex Projective Planes. Proc. Amer. Math. Soc. 121: p.859-864. (1994).
    | PDF |

  • Henrik Pedersen, Yat Sun Poon. A Relative Deformation of Moishezon Twistor Spaces. J. Algebraic Geom. 3: p.685-701. (1994).
    | PDF |

  • Henrik Pedersen, Yat Sun Poon. Equivariant Connected Sums of Compact Self-Dual Manifolds. Math. Ann. 301: p.717-749. (1995).
    | PDF |

  • Yat Sun Poon,  Andrew Swann. Generalised Connected Sums of Quaternionic Manifolds. Ann. Global Anal. Geom. 13: p.79-90. (1995).
    | PDF |

  • Yat Sun Poon. Decomposable Self-Dual Manifolds. Geo & Physics, Proceedings of the Conference on Geometry and Physics, Aarhus, Denmark. p.299-306.(1996).
    | PDF |

  • Yat Sun Poon. Torus Symmetry of Compact Self-Dual Manifolds. Geom. Dedicata. 60: p.49-64. (1996).
    | PDF |

  • Henrik Pedersen, Yat Sun Poon, Andrew Swann. Einstein-Weyl Deformations and Submanifolds. Internat. J. Math. 7:p.705-719. (1996).
    | PDF |

  • Anders Bisbjerg Madsen, Henrik Pedersen, Yat Sun Poon,  Andrew Swann. Compact Einstein-Weyl Manifolds With Large Symmetry Group. Duke Math. 88: p.407-434. (1997).
    | PDF |

  • Yat Sun Poon. Adjunction Mappings on Numerical Quadrics. Math. Scand. 80: p.161-174. (1997).
    | PDF |

  • Henrik Pedersen, Yat Sun Poon. Deformations of Hypercomplex Structures. J. Reine Angew. Math. 499: p.81-99. (1998).
    | PDF |

  • Henrik Pedersen, Yat Sun Poon, Andrew Swann. Hypercomplex Structures Associated to Quaternionic Manifolds. Differential Geom. Appl. 9: p.273-292. (1998).
    | PDF |

  • Henrik Pedersen, Yat Sun Poon.  Inhomogeneous Hypercomplex Structures on Homogeneous Manifolds. J. Reine Angew. Math. 516: p.159-181. (1999).
    | PDF |

  • Anders Bisbjerg Madsen, Henrik Pedersen, Yat Sun Poon,  Andrew Swann. Corrigendum: Compact Einstein-Weyl Manifolds with Large Symmetry Group. Duke Math. J. 100: p.167. (1999).
    | PDF |

  • Wai-Yin Poon, Yat Sun Poon. Conformal Normal Curvature and Assessment of Local Influence. J.R. Stat. Soc. Ser. B Stat. Methodol. 61: p.51-61. (1999).
    | PDF |

  • Henrik Pedersen, Yat Sun Poon.  A Note on Rigidity of 3-Sasakian Manifolds. Proc. Amer. Math. Soc. 127: p.3027-3034. (1999).
    | PDF |

  • Henrik Pedersen, Yat Sun Poon. Connected Sums of Self-Dual Manifolds and Equivariant Relative Smoothings. Pacific J. Math. 191: p.145-171. (1999).
    | PDF |

  • Henrik Pedersen, Yat Sun Poon. Decomposable Self-dual Manifolds. Differential Geom Appl. 10: p. 107-119. (1999).
    | PDF |

  • Gueo Grantcharov, Yat Sun Poon. Geometry of Hyper-Kahler Connections with Torsion. Comm. Math. Phys. 213: p.19-37. (2000).
    | PDF |

  • Yat Sun Poon. Examples of Hyper-Kahler Connections with Torsion. Proceedings of the Second Meeting on Quaternionic Structures in Mathematics and Physics, Roma, 1999. p.321-327. (2000).
    | PDF |

  • Shing-Fong Lew, Wai-Yin Poon, Yat Sun Poon.  A Local Influence Approach to Identifying Multiple Multivariate Outlier. British J. Math. Stat. Psychology. 53: p.255-273. (2000).
    | PDF |

  • Yat Sun Poon,  Andrew Swann. Potential Functions of HKT Spaces. Classical Quantum Gravity. 18: P.4711-4714. (2001).
    | PDF |

  • Wai-Yin Poon, Yat Sun Poon. Conditional Local Influence in Case-Weights Linear Regression. British J. Math. Stat. Psychology. 54: p.177-191. (2001).
    | PDF |

  • Wai-Yin Poon, Yat Sun Poon.  Influential Observations in the Estimation of Mean Vector and Covariance Matrix. British J. Math. Statist. Psych. 55: p.177-192. (2002).
    | PDF |

  • Gueo Grantcharov,  George Papadopoulos, Yat Sun Poon. Reduction of HKT-Structures. J. Math. Phys. 43: p.3766-3782. (2002).
    | PDF |

  • Wai-Yin Poon, Yat Sun Poon. Total Behavior of Likelihood Displacement. Statist. Sinica. 12: p.599-607. (2002).
    | PDF |

  • Yat Sun Poon,  Andrew Swann. Superconformal Symmetry and Hyper-Kahler Manifolds with Torsion. Comm. Math. Phys. 241: p.177-189. (2003).
    | PDF |

  • Liviu Ornea, Yat Sun Poon,  Andrew Swann. Potential 1-Forms for Hyper-Kahler Structures with Torsion. Classical Quantum Gravity. 20: p.1845-1856. (2003).
    | PDF |

  • Gueo Grantcharov, Colin McLaughlin, Henrik Pedersen, Yat Sun Poon. Deformations of Kodaira Manifolds. Glasg. Math. J. 46: p.259-281. (2004).
    | PDF |

  • Anna Fino, Henrik Pedersen, Yat Sun Poon, Marianne Weye Sorensen. Neutral Calabi-Yau Structures on Kodaira Manifolds. Comm. Math. Phys. 248: p.255-268. (2004).
    | PDF |

  • Colin McLaughlin, Henrik Pedersen, Yat Sun Poon, Simon Salamon. Deformation of 2-step Nilmanifolds with Abelian Complex Structures. J. London Math. Soc. 73: p.173-193. (2006).
    | PDF |

  • Yat Sun Poon. Extended Deformation of Kodaira Surfaces. J Reine Angew. Math. 590: p.45-65. (2006).
    | PDF |

  • Sergio Console, Anna Fino, Yat Sun Poon. Stability of Abelian Complex Structures. Internat. J. Math. 17: p.401-416. (2006).
    | PDF |

  • Wai-Yin Poon, Yat Sun Poon.  Local Conditional Influence. J. Applied Statistics. 34: p.997-1009. (2007).
    | PDF |

  • Bun Wong, Yat Sun Poon. Visibility of Asian Americans in Mathematics. Notices Amer. Math. Soc. 54: p.6. (2007).
    | PDF |

  • Yat Sun Poon. Differential Geometry in Local Influence Analysis. International Press. p.123-130. International Congress of Chinese Mathematicians 2007. Hangzhou, China. (2008).
    | PDF |

  • Gueo Grantcharov, Dimitar Grantcharov, Yat Sun Poon. Calabi-Yau Connections with Torsion on Toric Bundles. J. Differential Geometry. 78: p. 13-32. (2008).
    | PDF |

  • Gueo Grantcharov, Henrik Pedersen, Yat Sun Poon. Deformations of Hypercomplex Structures Associated to Heisenberg Groups. Quart. J. Math. 59: p.335-362. (2008).
    | PDF |

  • Richard Cleyton, Yat Sun Poon. Differential Gerstenhaber Algebras Associated to Nilpotent Algebras. Asian J. Math. 12: p.225-250. (2008).
    | PDF |

  • Yat Sun Poon.  Weak Mirror Symmetry of Nilmanifolds, Complex Geometry. Osaka University. p.10-22. Complex Geometry 2008. Osaka. (2008).
    | PDF |

  • Richard Cleyton, Jorge Lauret, Yat Sun Poon. Weak Mirror Symmetry of Lie Algebras. Journal of Symplectic Geometry. 8, Issue 1: p.37-55. (2010).
    | PDF |

  • Yat Sun Poon, Aissa Wade. Lie Bialgebroids of Generalized CRF Manifolds. C. R. Acad. Sci. Paris Ser. I. 348: p.919-922. (2010).
    | PDF |

  • Yat Sun Poon, Aissa Wade. Approaches to Generalize Contact Structures. Pure and Applied Mathematics Quarterly. 6: p.603-622. (2010).
    | PDF |

  • Richard Cleyton, Yat Sun Poon. Weak Mirror Symmetry of Complex Symplectic Lie Algebras. Journal of Geometry and Physics. 61: p.1553-1563. (2011).
    | PDF |

  • Yat Sun Poon, Aissa Wade. Generalized Contact Structures. Journal of the London Mathematical Society. 83: p. 333-352. (2011).
    | PDF |

  • Wai-Yin Poon, Yat Sun Poon. Application of Elementary Differential Geometry to Influence Analysis. Ed. First. International Press. Boston, U.S.A. ISBN: 978-7-04-035700-4. (2012).
    | LINK |

  • Yat Sun Poon. The Mathematical Sciences Center of Tsinghua University. Notices of the International Congress of Chinese Mathematicians. 1: p.87-95. 8p. (2013).
    | PDF |

  • Daniele Grandini, Yat Sun Poon, Brian Rolle. Differential Gerstenhaber Algebras of Generalized Complex Structures. Asian J. Math. 8: p.1991-218. (2014).
    | PDF |

  • Zhuo Chen, Daniele Grandini, Yat Sun Poon. Holomorphic Poisson Cohomology. Complex Manifolds. 2: p.34-52. (2015).
    | PDF |

  • Si Li, Yat Sun Poon. 60 Years of Calabi Conjecture. Nuclear Physics B. 898: p.659-660. (2015).
    | PDF |

  • Zhuo Chen, Anna Fino, Yat Sun Poon. Holomorphic Poisson Structure and its Cohomology on Nilmanifolds. Differential Geometry and its Applications. 44: p.144-160. (2016).
    | PDF |

  • Yat Sun Poon, John Simanyi. A Hodge-type Decomposition of Holomorphic Poisson Cohomology on Nilmanifolds. Complex Manifolds. 4: p.137-154. (2017).

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