Calabi-Yau manifolds of cohomogeneity one as complex line bundles

Kiyoshi Higashijima; Tetsuji Kimura; Muneto Nitta

doi:10.1016/S0550-3213(02)00750-2

Calabi-Yau manifolds of cohomogeneity one as complex line bundles

Kiyoshi Higashijima, Tetsuji Kimura, Muneto Nitta

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

We present a simple derivation of the Ricci-flat Káhler metric and its Káhler potential on the canonical line bundle over arbitrary Káhler coset space equipped with the Káhler-Einstein metric.

Original language	English
Article number	8534
Pages (from-to)	438-456
Number of pages	19
Journal	Nuclear Physics B
Volume	645
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(02)00750-2
Publication status	Published - 2002
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0550-3213(02)00750-2

Cite this

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title = "Calabi-Yau manifolds of cohomogeneity one as complex line bundles",

abstract = "We present a simple derivation of the Ricci-flat K{\'a}hler metric and its K{\'a}hler potential on the canonical line bundle over arbitrary K{\'a}hler coset space equipped with the K{\'a}hler-Einstein metric.",

author = "Kiyoshi Higashijima and Tetsuji Kimura and Muneto Nitta",

note = "Funding Information: We would like to thank Y. Sakane for useful comments. This work was supported in part by the Grant-in-Aid for Scientific Research. The work of M.N. was supported by the US Department of Energy under grant DE-FG02-91ER40681 (Task B). ",

year = "2002",

doi = "10.1016/S0550-3213(02)00750-2",

language = "English",

volume = "645",

pages = "438--456",

journal = "Nuclear Physics B",

issn = "0550-3213",

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number = "3",

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T1 - Calabi-Yau manifolds of cohomogeneity one as complex line bundles

AU - Higashijima, Kiyoshi

AU - Kimura, Tetsuji

AU - Nitta, Muneto

N1 - Funding Information: We would like to thank Y. Sakane for useful comments. This work was supported in part by the Grant-in-Aid for Scientific Research. The work of M.N. was supported by the US Department of Energy under grant DE-FG02-91ER40681 (Task B).

PY - 2002

Y1 - 2002

N2 - We present a simple derivation of the Ricci-flat Káhler metric and its Káhler potential on the canonical line bundle over arbitrary Káhler coset space equipped with the Káhler-Einstein metric.

AB - We present a simple derivation of the Ricci-flat Káhler metric and its Káhler potential on the canonical line bundle over arbitrary Káhler coset space equipped with the Káhler-Einstein metric.

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U2 - 10.1016/S0550-3213(02)00750-2

DO - 10.1016/S0550-3213(02)00750-2

M3 - Article

AN - SCOPUS:0037175453

SN - 0550-3213

VL - 645

SP - 438

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JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

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ER -

Calabi-Yau manifolds of cohomogeneity one as complex line bundles

Abstract

ASJC Scopus subject areas

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