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Example of a six-dimensional LCK solvmanifold

100%

Sawai H.

Complex Manifolds

2017

tom 4

nr 1

37-42

The purpose of this paper is to prove that there exists a lattice on a certain solvable Lie group and construct a six-dimensional locally conformal Kähler solvmanifold with non-parallel Lee form.

On compact symplectic and Kählerian solvmanifolds which are not completely solvable

80%

Tralle A.

Colloquium Mathematicum

1997

tom 73

nr 2

261-283

We are interested in the problem of describing compact solvmanifolds admitting symplectic and Kählerian structures. This was first considered in [3, 4] and [7]. These papers used the Hattori theorem concerning the cohomology of solvmanifolds hence the results obtained covered only the completely solvable case}. Our results do not use the assumption of complete solvability. We apply our methods to construct a new example of a compact symplectic non-Kählerian solvmanifold.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Complex Manifolds

1 Sawai H.

1 Tralle A.

1 2017

1 1997

Wyniki wyszukiwania

Example of a six-dimensional LCK solvmanifold

On compact symplectic and Kählerian solvmanifolds which are not completely solvable