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

Voir la notice de l'article provenant de la source American Mathematical Society

DOI

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 
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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