U.S.-Bulgarian Cooperative Research: "Geometry of Four-Manifolds and Twistor Spaces"

美国-保加利亚合作研究奖是为了表彰密歇根州立大学的David E.Blair博士、伊利诺伊大学的Tedi Draghici博士、凯斯西部储备大学的Brendan Foreman博士以及保加利亚科学院数学与信息学研究所的Johann Todorov Davidov博士、Oleg Krastev Mushkarov博士、Vestislv Dragomirov Apostolov博士之间的一个项目，该项目涉及四个流形和扭曲空间。这项提议的目的是进一步发展国际和平研究所与他最近的两名博士生和保加利亚研究所的研究人员之间的研究合作。研究人员建议研究：(1)Kahler度量和几乎Kahler度量的Twistorial构造；(2)Remanan对称和3-对称Twistor空间；(3)具有调和几乎复结构的Twistor空间；(4)Twistor空间截面的极小性；(5)紧致*-爱因斯坦Hermitian曲面的分类；(6)紧致双Hermite曲面的分类；(7)具有特殊Weyl张量的紧致Alallar-Kahler 4-流形；(8)twistor空间上的复接触结构；(9)Lie群上的复接触结构；(10)接触流形上的曲率和共形Anosov流。这项数学研究实现了将美国和保加利亚的顶尖专家聚集在一起，在平等、互惠和互利的基础上，在共同利益和能力强的领域结合互补努力和能力的计划目标。*

INT-9903302BlairThis U.S.-Bulgaria Cooperative Research award is for a project on "Geometry of four-manifolds and twister spaces" between Dr. David E. Blair of Michigan State University, Dr. Tedi Draghici of Northwestern Illinois University, Dr. Brendan Foreman of Case Western Reserve University, and Drs. Johann Todorov Davidov, Oleg Krastev Mushkarov, Vestislav Dragomirov Apostolov of the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences. The objective of this proposal is to further develop research collaborations between the PI and two of his recent Ph.D. students and researchers from the Bulgarian Institute. The researchers propose to study: (1) Twistorial construction of Kahler and almost Kahler metrics; (2) Reimannian symmetric and 3-symmetric twistor spaces; (3) Twistor spaces with harmonic almost-complex structures; (4) Minimality of sections of twistor spaces; (5) Classification of compact *-Einstein Hermitian surfaces; (6) Classification of compact bi-Hermitian surfaces; (7) Compact almost-Kahler 4-manifolds with special Weyl tensor; (8) Complex contact structures on twistor spaces; (9) Complex contact structures on Lie groups; (10) Curvature and conformally Anosov flows on contact manifolds. This research in mathematics fulfills the program objectives of bringing together leading experts in the U.S. and Bulgaria to combine complementary efforts and capabilities in areas of strong mutual interest and competence on the basis of equality, reciprocity, and mutuality of benefit.***