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pro vyhledávání: '"Malte Dyckmanns"'
Publikováno v:
Asian Journal of Mathematics. 25:1-30
Publikováno v:
Springer INdAM Series ISBN: 9783319675183
We prove that every projective special Kahler manifold with regular boundary behaviour is complete and defines a family of complete quaternionic Kahler manifolds depending on a parameter c ≥ 0. We also show that, irrespective of its boundary behavi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::807548243075657797411dc3f01c79d2
https://doi.org/10.1007/978-3-319-67519-0_4
https://doi.org/10.1007/978-3-319-67519-0_4
Autor:
Malte Dyckmanns, Owen Vaughan
We generalise the hyper-Kahler/quaternionic Kahler (HK/QK) correspondence to include para-geometries, and present a new concise proof that the target manifold of the HK/QK correspondence is quaternionic Kahler. As an application, we construct one-par
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4fe6222e7813395b4647ea345a03a26a
http://arxiv.org/abs/1601.05001
http://arxiv.org/abs/1601.05001
Publikováno v:
JOURNAL OF GEOMETRY AND PHYSICS
We give an explicit formula for the quaternionic K\"ahler metrics obtained by the HK/QK correspondence. As an application, we give a new proof of the fact that the Ferrara-Sabharwal metric as well as its one-loop deformation is quaternionic K\"ahler.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5188a65e62f27759269f40f0f5fe0b8d
http://livrepository.liverpool.ac.uk/2038919/1/1305.3549.pdf
http://livrepository.liverpool.ac.uk/2038919/1/1305.3549.pdf
We determine all complete projective special real surfaces. By the supergravity r-map, they give rise to complete projective special K\"ahler manifolds of dimension 6, which are distinguished by the image of their scalar curvature function. By the su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d254564a2d954b7e4d7919e5e008cb83