On LCK solvmanifolds with a property of Vaisman solvmanifolds-Reference-Cited by-同舟云学术

On LCK solvmanifolds with a property of Vaisman solvmanifolds

Published:2022-01-01 Issue:1 Volume:9 Page:196-205
ISSN:2300-7443
Container-title:Complex Manifolds
language:en
Short-container-title:

Author:

Sawai Hiroshi¹

Affiliation:

1. National Institute of Technology Numazu College , 3600 Ooka Numazu-shi Shizuoka 410-8501 Japan

Abstract

Abstract The purpose in this paper is to determine a locally conformal Kähler solvmanifold such that the nilradical of the solvable Lie group is constructed by a Heisenberg Lie group.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/coma-2021-0135/pdf

Reference22 articles.

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2. [2] A. Andrada and M. Origlia: Vaisman solvmanifolds and relations with other geometric structures, Asian J. Math. 24 (2020), no. 1, 117-145.

3. [3] L. C. de Andrés, L. A. Cordero, M. Fernández and J. J. Mencía: Examples of four dimensional locally conformal Kähler solv-manifolds, Geom. Dedicata 29 (1989), 227-232.

4. [4] F. A. Belgun: On the metric structure of non-Kähler complex surfaces, Math. Ann. 317 (2000), 1-40.

5. [5] L. A. Cordero, M. Fernández and M. de Léon: Compact locally conformal Kähler nilmanifolds, Geom. Dedicata 21 (1986), 187-192.

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