カラビ・ヤウ多様体
出典: フリー百科事典『ウィキペディア（Wikipedia）』 (2022/01/06 09:06 UTC 版)
関連項目
- G2多様体(G2 manifold)
- カラビ・ヤウ代数(Calabi–Yau algebra)
参考文献
- Besse, Arthur L. (1987), Einstein manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), 10, Berlin, New York: Springer-Verlag, ISBN 978-3-540-15279-8, OCLC 13793300
- Chan,Yat-Ming (2004)"Desingularization Of Calabi–Yau 3-Folds With A Conical Singularity"
- Calabi, Eugenio (1954), “The space of Kähler metrics”, Proc. Internat. Congress Math. Amsterdam, 2, pp. 206–207
- Calabi, Eugenio (1957), “On Kähler manifolds with vanishing canonical class”, in Fox, Ralph H.; Spencer, D. C.; Tucker, A. W., Algebraic geometry and topology. A symposium in honor of S. Lefschetz, Princeton Mathematical Series, 12, Princeton University Press, pp. 78–89, MR0085583
- Greene, Brian "String Theory On Calabi–Yau Manifolds"
- Candelas, Philip; Horowitz, Gary; Strominger, Andrew; Witten, Edward (1985), “Vacuum configurations for superstrings”, Nuclear Physics B 258: 46–74, Bibcode: 1985NuPhB.258...46C, doi:10.1016/0550-3213(85)90602-9
- Gross, M.; Huybrechts, D.; Joyce, Dominic (2003), Calabi–Yau manifolds and related geometries, Universitext, Berlin, New York: Springer-Verlag, ISBN 978-3-540-44059-8, MR1963559, OCLC 50695398
- Hitchin, Nigel (2003), “Generalized Calabi–Yau manifolds”, The Quarterly Journal of Mathematics 54 (3): 281–308, arXiv:math.DG/0209099, doi:10.1093/qmath/hag025, MR2013140
- Hübsch, Tristan (1994), Calabi–Yau Manifolds: a Bestiary for Physicists, Singapore, New York: World Scientific, ISBN 981-02-1927-X, OCLC 34989218
- Im, Mee Seong (2008) "Singularities-in-Calabi-Yau-varieties.pdf Singularities in Calabi–Yau varieties"
- Joyce, Dominic (2000), Compact Manifolds with Special Holonomy, Oxford University Press, ISBN 978-0-19-850601-0, OCLC 43864470
- Tian, Gang; Yau, Shing-Tung (1990), “Complete Kähler manifolds with zero Ricci curvature, I”, Amer. Math. Soc. 3 (3): 579–609, doi:10.2307/1990928, JSTOR 1990928
- Tian, Gang; Yau, Shing-Tung (1991), “Complete Kähler manifolds with zero Ricci curvature, II”, Invent. Math. 106 (1): 27–60, Bibcode: 1991InMat.106...27T, doi:10.1007/BF01243902
- Yau, Shing Tung (1978), “On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I”, Communications on Pure and Applied Mathematics 31 (3): 339–411, doi:10.1002/cpa.3160310304, MR480350
- Yau, Shing-Tung (2009), A survey of Calabi-Yau manifolds, “Surveys in differential geometry. Vol. XIII. Geometry, analysis, and algebraic geometry: forty years of the Journal of Differential Geometry”, Scholarpedia, Surv. Differ. Geom. (Somerville, Massachusetts: Int. Press) 4 (8): 277–318, Bibcode: 2009SchpJ...4.6524Y, doi:10.4249/scholarpedia.6524, MR2537089
外部リンク
- Calabi–Yau Homepage is an interactive reference which describes many examples and classes of Calabi–Yau manifolds and also the physical theories in which they appear.
- Spinning Calabi–Yau Space video.
- Calabi–Yau Space by Andrew J. Hanson with additional contributions by Jeff Bryant, Wolfram Demonstrations Project.
- Weisstein, Eric W. "Calabi–Yau Space". MathWorld (英語).
- Yau, S. T., Calabi–Yau manifold, Scholarpedia (similar to (Yau 2009))
- ^ リッチ曲率がゼロである多様体をリッチ平坦な多様体と言う．アインシュタイン多様体の特別な例となる。物理的には宇宙定数がゼロとなることを意味する。
- ^ Reid, Miles (1987), "The Moduli Space of 3-Folds with K = 0 May Nevertheless be Irreducible", Math. Ann., 278, 329
- ^ “The Shape of Curled-Up Dimensions”. 2006年9月13日時点のオリジナルよりアーカイブ。2012年12月27日閲覧。
[前の解説]
「カラビ・ヤウ多様体」の続きの解説一覧
- カラビ・ヤウ多様体のページへのリンク
