{"id":5,"date":"2017-12-06T14:11:58","date_gmt":"2017-12-06T14:11:58","guid":{"rendered":"http:\/\/sites.rutgers.edu\/professor-example\/?page_id=5"},"modified":"2024-07-15T19:39:30","modified_gmt":"2024-07-15T19:39:30","slug":"research","status":"publish","type":"page","link":"https:\/\/sites.rutgers.edu\/teng-fei\/research\/","title":{"rendered":"Research"},"content":{"rendered":"

My research interests are in differential geometry, geometry analysis, mathematical physics and related areas.<\/h4>\n
\n

My publications can be found on arXiv<\/a>, <\/span>Google Scholar<\/a>, MathSciNet<\/a>, INSPIRE<\/a>.<\/h4>\n

 <\/p>\n

    \n
  1. On nilpotent Jordan structures<\/a>.<\/li>\n
  2. The geometry of three-forms on symplectic six-manifolds<\/a>.<\/li>\n
  3. Remarks on generalized Calabi-Gray manifolds<\/a>.\u00a0To appear in Int. J. Math.<\/strong><\/em><\/li>\n
  4. (With D.H. Phong, S. Picard and X.-W. Zhang). Stability of the Type IIA flow and its applications in symplectic geometry<\/a>. To appear in Comm. Anal. Geom<\/em><\/strong>.<\/li>\n
  5. (With D.H. Phong). Symplectic geometric flows<\/a>. Pure Appl. Math. Q.<\/em>\u00a0<\/strong>19 (2023), No. 4, 1853-1871. Published Version<\/a><\/li>\n
  6. (With D.H. Phong, S. Picard and X.-W. Zhang). Bochner-Kodaira formulas and the Type IIA flow<\/a>. J. Geom. Anal.<\/strong><\/em> 33 (2023), No. 2, 48.\u00a0<\/em><\/em>Published Version<\/a>. MR4523515<\/a>.<\/li>\n
  7. (With D.H. Phong, S. Picard and X.-W. Zhang). Geometric flows for the Type IIA string<\/a>. Camb. J. Math. <\/strong><\/em>9 (2021), No. 3, 693-807. Published Version<\/a>. MR4400736<\/a>.<\/li>\n
  8. (With D.H. Phong, S. Picard and X.-W. Zhang). Estimates for a geometric flow for the Type IIB string<\/a>. Math. Ann. <\/em><\/strong>382 (2022), No. 3-4, 1935-1955. Published Version<\/a>. MR4403240<\/a>.<\/li>\n
  9. (With D.H. Phong). Unification of the K\u00e4hler-Ricci and Anomaly flows<\/a>. In Differential Geometry, Calabi-Yau Theory, and General Relativity<\/strong><\/em>, 89-104 (2018), Vol. 23 of Surveys in Differential Geometry<\/strong><\/em>, International Press. Published Version<\/a>. MR4451825<\/a>.<\/li>\n
  10. (With S. Picard). Anomaly flow and T-duality<\/a>. Pure Appl. Math. Q. <\/em><\/strong>17 (2021) No. 3, 1083-1112. Published Version<\/a>. MR4278960<\/a>.<\/li>\n
  11. (With B. Guo and D.H. Phong). On convergence criteria for the coupled flow of Li-Yuan-Zhang<\/a>. Math. Z.<\/em><\/strong> 292 (2019) No. 1-2, 473-497. Published Version<\/a>. MR3968911<\/a>.<\/li>\n
  12. Generalized Calabi-Gray geometry and heterotic superstrings.<\/a> In Proceedings of the International Consortium of Chinese Mathematicians, 2017<\/strong><\/em>, 261-282 (2020),\u00a0International Press. Published Version<\/a>. MR4251114<\/a>.<\/li>\n
  13. (With B. Guo and D.H. Phong). Parabolic dimensional reductions of 11D supergravity<\/a>. Anal. PDE<\/strong><\/em> 14 (2021), No. 5, 1333\u20131361. Published Version<\/a>. MR4307211<\/a>.<\/li>\n
  14. (With B. Guo and D.H. Phong). A geometric construction of solutions to 11D supergravity<\/a>. Comm. Math. Phys.<\/em><\/strong> 369 (2019) No. 2, 811-836. Published Version<\/a>. MR3962009<\/a>.<\/li>\n
  15. (With Z.-J. Huang and S. Picard). The Anomaly flow over Riemann surfaces<\/a>. Int. Math. Res. Not. <\/em><\/strong>2021 (2021), No. 3, 2134-2165. Published Version<\/a>. MR4206607<\/a>.<\/li>\n
  16. (With Z.-J. Huang). An estimate of the first eigenvalue of a Schr\u00f6dinger operator on closed surfaces<\/a>. Proc. Amer. Math. Soc.<\/em><\/strong> 146 (2018) No. 4, 1599-1602. Published Version<\/a>. MR3754344<\/a>.<\/li>\n
  17. (With Z.-J. Huang and S. Picard). A construction of infinitely many solutions to the Strominger system<\/a>. J. Differential Geom. <\/em><\/strong>117 (2021) No. 1, 23-39.\u00a0Published Version<\/a>. MR4195751<\/a>.<\/li>\n
  18. Some torsional local models of heterotic strings<\/a>. Comm. Anal. Geom.<\/em><\/strong> 25 (2017) No. 5, 941-968. Published Version<\/a>. MR3733796<\/a>.<\/li>\n
  19. A construction of non-K\u00e4hler Calabi-Yau manifolds and new solutions to the Strominger system<\/a>. Adv. Math.<\/em><\/strong> 302 (2016), 529-550. Published Version<\/a>. MR3545938<\/a>.<\/li>\n
  20. Stable forms, vector cross products and their applications in geometry<\/a>. Preprint.<\/li>\n
  21. (with S.-T. Yau). Invariant solutions to the Strominger system on complex Lie groups and their quotients<\/a>. Comm. Math. Phys.<\/em><\/strong> 338 (2015) No. 3, 1183-1195. Published Version<\/a>. MR3355812<\/a>.<\/li>\n
  22. (with K. Cordwell and K. Zhou). On lower central series quotients of finitely generated algebras over Z<\/a>. J. Algebra<\/em><\/strong> 423 (2015), 559-572. Published Version<\/a>. MR3283731<\/a>.<\/li>\n
  23. (With J. Zhang). Information Geometry with (Para-)K\u00e4hler Structures. In Information Geometry and Its Applications: IGAIA IV Liblice, Czech Republic, June 2016<\/em><\/strong>, 297-321 (2018), Springer. Published Version<\/a>. MR3876122<\/a>.<\/li>\n
  24. (With J. Zhang). Interaction of Codazzi couplings with (para-)K\u00e4hler geometry. Results Math.<\/em><\/strong> 72 (2017) No. 4, 2037-2056.
    \n    Published Version<\/a>. MR3735541<\/a>.<\/li>\n
  25. My Thesis<\/a>. MR3593383<\/a>.<\/li>\n<\/ol>\n

    \"Hit
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