Differential Geometry and Topology

Publications

• Weiqing Gu (1997), The Stable 4-dimensional Geometry of the Real Grassmann Manifolds. Duke Mathematical Journal, Vol. 93, No. 1, 155-178.
• Weiqing Gu and Zhongmin Shen (1998), Lévy Concentration of Metric Measure Manifolds. Finslerian Geometries, Kluwer Academic Publishers, 169-177.
• Weiqing Gu and Shenjun Jiang (1998), Knotty Matrices in Knots. The Journal of Knot Theory and its Ramifications, Vol. 8, No. 6, 701-707.
• Daniel Grossman and Weiqing Gu (2001), Uniqueness of Volume-Minimizing Submanifolds Calibrated by the First Pontryagin Form. the Transactions of the American Mathematics Society, Vol. 353, No. 11, Pages 4319-4332. (Article also electronically published on June 14, 2001.)
• Daniel Grossman and Weiqing Gu, The 4-Dimensional Calibrated Geometry of Complex Grassmannians. In preparation.
• Herman Gluck and Weiqing Gu (2001), Volume-Preserving Great Circle Flows on the 3-Sphere, Geometriae Dedicata, Vol. 88, 2001, Pages 259-282.
• Weiqing Gu and Christopher Pries, Examples of Cayley Manifolds in R8. Houston Journal of Mathematics. Electronic Edition Vol. 30, No. 1, 2004, pages 55-87. This is a publication with an undergraduate at HMC.
• Weiqing Gu and Ian Weiner, Associative Manifolds Invariant Under 1-Parameter Subgroups of G2. Accepted by International Journal of Pure and Applied Mathematics.
• Weiqing Gu and Christopher Pries, Classification of Symmetric Cayley Manifolds. Submitted to Houston Journal of Mathematics.
• Weiqing Gu and Matt Holden, Volume Minimizing Cycles in R6 x S1 = R 7/Z. In preparation for submission.
• Weiqing Gu and Jeff L. Jaurequi, Solving for Volume-Minimizing Cycles in G2-Manifolds. In preparation for submission.
• Weiqing Gu and Ruben Arenas, A New Basis for Lie Algebra of G2. In preparation for submission.