A Class of Locally Inhomogeneous Complete Quaternionic Kahler Manifolds

被引：0

作者：

Cortes, Vicente ^{[1
]}

Gil-Garcia, Alejandro ^{[1
]}

Saha, Arpan ^{[2
]}

机构：

[1] Univ Hamburg, Fachbereich Math, Bundesstr 55, D-20146 Hamburg, Germany

[2] Inst Ciencias Matemat, Nicolas Cabrera 13-15, Madrid 28049, Spain

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2023年 / 403卷 / 03期

关键词：

GEOMETRY;

D O I：

10.1007/s00220-023-04830-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that the one-loop deformation of any quaternionic Kahler manifold in the class of c-map spaces is locally inhomogeneous. As a corollary, we obtain that the full isometry group of the one-loop deformation of any homogeneous c-map space has precisely cohomogeneity one.

引用

页码：1611 / 1626

页数：16

共 25 条

[1] Quaternionic Kahler metrics associated with special Kahler manifolds
Alekseevsky, D. V.
Cortes, V.
Dyckmanns, M.
Mohaupt, T.
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2015, 92 : 271 - 287
[2] Conification of Kahler and Hyper-Kahler Manifolds
Alekseevsky, D. V.
Cortes, V.
Mohaupt, T.
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2013, 324 (02) : 637 - 655
[3] Special complex manifolds
Alekseevsky, DV
Cortés, V
Devchand, C
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2002, 42 (1-2) : 85 - 105
[4] Alekseevsky DV, 2001, OSAKA J MATH, V38, P869
[5] [Anonymous], 1975, Izv. Akad. Nauk SSSR Ser. Mat., DOI DOI 10.1070/IM1975V009N02ABEH001479
[6] NON-COMPACT EINSTEIN MANIFOLDS WITH SYMMETRY
Boehm, Christoph
Lafuente, Ramiro A.
[J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 36 (03) : 591 - 651
[7] GEOMETRY OF TYPE-II SUPERSTRINGS AND THE MODULI OF SUPERCONFORMAL FIELD-THEORIES
CECOTTI, S
FERRARA, S
GIRARDELLO, L
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1989, 4 (10): : 2475 - 2529
[8] Cortés V, 2021, Arxiv, DOI arXiv:2105.00727
[9] Cortes V, 2021, ASIAN J MATH, V25, P1
[10] Symmetries of quaternionic Kahler manifolds with S1-symmetry
Cortes, V
Saha, A.
Thung, D.
[J]. TRANSACTIONS OF THE LONDON MATHEMATICAL SOCIETY, 2021, 8 (01): : 95 - 119

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