Kähler manifold (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Kähler manifold" in English language version.

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Cannas da Silva (2001), Definition 16.1. Cannas da Silva, Ana (2001), Lectures on Symplectic Geometry, Lecture Notes in Mathematics, vol. 1764, Springer, doi:10.1007/978-3-540-45330-7, ISBN 978-3540421955, MR 1853077
Zheng (2000), Proposition 7.14. Zheng, Fangyang (2000), Complex Differential Geometry, American Mathematical Society, ISBN 978-0-8218-2163-3, MR 1777835
Kobayashi & Nomizu (1996), v. 2, p. 149. Kobayashi, Shoshichi; Nomizu, Katsumi (1996) [1969], Foundations of Differential Geometry, vol. 2, John Wiley & Sons, ISBN 978-0-471-15732-8, MR 1393941
Moroianu (2007), Proposition 8.8. Moroianu, Andrei (2007), Lectures on Kähler Geometry, London Mathematical Society Student Texts, vol. 69, Cambridge University Press, arXiv:math/0402223, doi:10.1017/CBO9780511618666, ISBN 978-0-521-68897-0, MR 2325093
Zheng (2000), section 7.4. Zheng, Fangyang (2000), Complex Differential Geometry, American Mathematical Society, ISBN 978-0-8218-2163-3, MR 1777835
Huybrechts (2005), Section 3.1. Huybrechts, Daniel (2005), Complex Geometry: An Introduction, Springer, ISBN 978-3-540-21290-4, MR 2093043
Huybrechts (2005), Proposition 3.1.12. Huybrechts, Daniel (2005), Complex Geometry: An Introduction, Springer, ISBN 978-3-540-21290-4, MR 2093043
Huybrechts (2005), Corollary 3.2.12. Huybrechts, Daniel (2005), Complex Geometry: An Introduction, Springer, ISBN 978-3-540-21290-4, MR 2093043
Huybrechts (2005), sections 3.3 and 5.2, Huybrechts, Daniel (2005), Complex Geometry: An Introduction, Springer, ISBN 978-3-540-21290-4, MR 2093043
Huybrechts (2005), Proposition 3.A.28. Huybrechts, Daniel (2005), Complex Geometry: An Introduction, Springer, ISBN 978-3-540-21290-4, MR 2093043
Voisin (2004) Voisin, Claire (2004), "On the homotopy types of compact Kähler and complex projective manifolds", Inventiones Mathematicae, 157 (2): 329–343, arXiv:math/0312032, Bibcode:2004InMat.157..329V, doi:10.1007/s00222-003-0352-1, MR 2076925, S2CID 11984149
Barth et al. (2004), section IV.3. Barth, Wolf P.; Hulek, Klaus; Peters, Chris A.M.; Van de Ven, Antonius (2004) [1984], Compact Complex Surfaces, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol. 4, Springer, doi:10.1007/978-3-642-57739-0, ISBN 978-3-540-00832-3, MR 2030225
Buchdahl (1999) Buchdahl, Nicholas (1999). "On compact Kähler surfaces". Annales de l'Institut Fourier. 49 (1): 287–302. doi:10.5802/aif.1674. MR 1688136. Zbl 0926.32025.
Lamari (1999) Lamari, Ahcène (1999). "Courants kählériens et surfaces compactes". Annales de l'Institut Fourier. 49 (1): 263–285. doi:10.5802/aif.1673. MR 1688140. Zbl 0926.32026.
Zheng (2000), Corollary 9.8. Zheng, Fangyang (2000), Complex Differential Geometry, American Mathematical Society, ISBN 978-0-8218-2163-3, MR 1777835
Zheng (2000), Lemma 9.14. Zheng, Fangyang (2000), Complex Differential Geometry, American Mathematical Society, ISBN 978-0-8218-2163-3, MR 1777835
Kobayashi & Nomizu (1996), v. 2, Proposition IX.9.2. Kobayashi, Shoshichi; Nomizu, Katsumi (1996) [1969], Foundations of Differential Geometry, vol. 2, John Wiley & Sons, ISBN 978-0-471-15732-8, MR 1393941

arxiv.org

Moroianu (2007), Proposition 8.8. Moroianu, Andrei (2007), Lectures on Kähler Geometry, London Mathematical Society Student Texts, vol. 69, Cambridge University Press, arXiv:math/0402223, doi:10.1017/CBO9780511618666, ISBN 978-0-521-68897-0, MR 2325093
Voisin (2004) Voisin, Claire (2004), "On the homotopy types of compact Kähler and complex projective manifolds", Inventiones Mathematicae, 157 (2): 329–343, arXiv:math/0312032, Bibcode:2004InMat.157..329V, doi:10.1007/s00222-003-0352-1, MR 2076925, S2CID 11984149
Yang & Zheng (2018) Yang, Xiaokui; Zheng, Fangyang (2018). "On real bisectional curvature for Hermitian manifolds". Transactions of the American Mathematical Society. 371 (4): 2703–2718. arXiv:1610.07165. doi:10.1090/tran/7445. S2CID 119669591.
Lee & Streets (2021) Lee, Man-Chun; Streets, Jeffrey (2021). "Complex Manifolds with Negative Curvature Operator". International Mathematics Research Notices. 2021 (24): 18520–18528. arXiv:1903.12645. doi:10.1093/imrn/rnz331. S2CID 88524040.

books.google.com

Wells (2007) p.217 Definition 1.1 Wells, Raymond O. (2007). Differential Analysis on Complex Manifolds. Springer. ISBN 9780387738925.

doi.org

Cannas da Silva (2001), Definition 16.1. Cannas da Silva, Ana (2001), Lectures on Symplectic Geometry, Lecture Notes in Mathematics, vol. 1764, Springer, doi:10.1007/978-3-540-45330-7, ISBN 978-3540421955, MR 1853077
Moroianu (2007), Proposition 8.8. Moroianu, Andrei (2007), Lectures on Kähler Geometry, London Mathematical Society Student Texts, vol. 69, Cambridge University Press, arXiv:math/0402223, doi:10.1017/CBO9780511618666, ISBN 978-0-521-68897-0, MR 2325093
Kodaira (1954) Kodaira, K. (1954). "On Kahler Varieties of Restricted Type an Intrinsic Characterization of Algebraic Varieties)". Annals of Mathematics. 60 (1): 28–48. doi:10.2307/1969701. JSTOR 1969701.
Voisin (2004) Voisin, Claire (2004), "On the homotopy types of compact Kähler and complex projective manifolds", Inventiones Mathematicae, 157 (2): 329–343, arXiv:math/0312032, Bibcode:2004InMat.157..329V, doi:10.1007/s00222-003-0352-1, MR 2076925, S2CID 11984149
Barth et al. (2004), section IV.3. Barth, Wolf P.; Hulek, Klaus; Peters, Chris A.M.; Van de Ven, Antonius (2004) [1984], Compact Complex Surfaces, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol. 4, Springer, doi:10.1007/978-3-642-57739-0, ISBN 978-3-540-00832-3, MR 2030225
Buchdahl (1999) Buchdahl, Nicholas (1999). "On compact Kähler surfaces". Annales de l'Institut Fourier. 49 (1): 287–302. doi:10.5802/aif.1674. MR 1688136. Zbl 0926.32025.
Lamari (1999) Lamari, Ahcène (1999). "Courants kählériens et surfaces compactes". Annales de l'Institut Fourier. 49 (1): 263–285. doi:10.5802/aif.1673. MR 1688140. Zbl 0926.32026.
Yang & Zheng (2018) Yang, Xiaokui; Zheng, Fangyang (2018). "On real bisectional curvature for Hermitian manifolds". Transactions of the American Mathematical Society. 371 (4): 2703–2718. arXiv:1610.07165. doi:10.1090/tran/7445. S2CID 119669591.
Lee & Streets (2021) Lee, Man-Chun; Streets, Jeffrey (2021). "Complex Manifolds with Negative Curvature Operator". International Mathematics Research Notices. 2021 (24): 18520–18528. arXiv:1903.12645. doi:10.1093/imrn/rnz331. S2CID 88524040.

harvard.edu

ui.adsabs.harvard.edu

Voisin (2004) Voisin, Claire (2004), "On the homotopy types of compact Kähler and complex projective manifolds", Inventiones Mathematicae, 157 (2): 329–343, arXiv:math/0312032, Bibcode:2004InMat.157..329V, doi:10.1007/s00222-003-0352-1, MR 2076925, S2CID 11984149

jstor.org

Kodaira (1954) Kodaira, K. (1954). "On Kahler Varieties of Restricted Type an Intrinsic Characterization of Algebraic Varieties)". Annals of Mathematics. 60 (1): 28–48. doi:10.2307/1969701. JSTOR 1969701.

semanticscholar.org

api.semanticscholar.org

Voisin (2004) Voisin, Claire (2004), "On the homotopy types of compact Kähler and complex projective manifolds", Inventiones Mathematicae, 157 (2): 329–343, arXiv:math/0312032, Bibcode:2004InMat.157..329V, doi:10.1007/s00222-003-0352-1, MR 2076925, S2CID 11984149
Yang & Zheng (2018) Yang, Xiaokui; Zheng, Fangyang (2018). "On real bisectional curvature for Hermitian manifolds". Transactions of the American Mathematical Society. 371 (4): 2703–2718. arXiv:1610.07165. doi:10.1090/tran/7445. S2CID 119669591.
Lee & Streets (2021) Lee, Man-Chun; Streets, Jeffrey (2021). "Complex Manifolds with Negative Curvature Operator". International Mathematics Research Notices. 2021 (24): 18520–18528. arXiv:1903.12645. doi:10.1093/imrn/rnz331. S2CID 88524040.

zbmath.org

Buchdahl (1999) Buchdahl, Nicholas (1999). "On compact Kähler surfaces". Annales de l'Institut Fourier. 49 (1): 287–302. doi:10.5802/aif.1674. MR 1688136. Zbl 0926.32025.
Lamari (1999) Lamari, Ahcène (1999). "Courants kählériens et surfaces compactes". Annales de l'Institut Fourier. 49 (1): 263–285. doi:10.5802/aif.1673. MR 1688140. Zbl 0926.32026.