Geodesic
Modification and the cohomology groups of compact solvmanifolds
Guan, Daniel1
1 Department of Mathematics, University of California at Riverside, Riverside, CA 92507
Electronic research announcements of the American Mathematical Society, Tome 13 (2007), pp. 74-81 Cet article a éte moissonné depuis la source American Mathematical Society

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In this note we give a modification theorem for a compact homogeneous solvmanifold such that a certain Mostow type condition will be satisfied. An application of this result is a simpler way to calculate the cohomology groups of compact quotients of real solvable Lie group over a cocompact discrete subgroup. Furthermore, we apply the second result to obtain a splitting theorem for compact complex homogeneous manifolds with symplectic structures. In particular, we are able to classify compact complex homogeneous spaces with pseudo-Kählerian structures.
DOI : 10.1090/S1079-6762-07-00176-X

Guan, Daniel 1

1 Department of Mathematics, University of California at Riverside, Riverside, CA 92507 
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Guan, Daniel. Modification and the cohomology groups of compact solvmanifolds. Electronic research announcements of the American Mathematical Society, Tome 13 (2007), pp. 74-81. doi: 10.1090/S1079-6762-07-00176-X

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