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BOTT MANIFOLDS WITH VANISHING FUTAKI INVARIANTS FOR ALL KAHLER CLASSES

Part of: Global differential geometry Real and complex geometry Special varieties

Published online by Cambridge University Press:  24 February 2025

HAJIME ONO Open the ORCID record for HAJIME ONO [Opens in a new window] ,
YUJI SANO Open the ORCID record for YUJI SANO [Opens in a new window]  and
NAOTO YOTSUTANI Open the ORCID record for NAOTO YOTSUTANI [Opens in a new window]
HAJIME ONO
Affiliation:
Department of Mathematics University of Tsukuba 1-1-1 Tennodai Tsukuba, Ibaraki 305-8571 Japan email:[email protected]
YUJI SANO
Affiliation:
Department of Applied Mathematics Faculty of Science, Fukuoka University 8-19-1 Nanakuma, Jonan-ku Fukuoka 814-0180 Japan email:[email protected]
NAOTO YOTSUTANI*
Affiliation:
Faculty of Education Mathematics Kagawa University 1-1 Saiwai-cho Takamatsu 760-8521 Japan
*
[email protected]
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Abstract

We prove that the only Bott manifolds such that the Futaki invariant vanishes for any Kähler class are isomorphic to the products of the projective lines.

Keywords

Bott manifoldsstrong Calabi dream manifoldstoric varietiesFutaki invariants

MSC classification

Primary: 51M20: Polyhedra and polytopes; regular figures, division of spaces
Secondary: 53C55: Hermitian and Kählerian manifolds 14M25: Toric varieties, Newton polyhedra
Type
Article
Information
Nagoya Mathematical Journal , First View , pp. 1 - 20
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Foundation Nagoya Mathematical Journal

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