#### Volume 17, issue 4 (2013)

 1 B Alexandrov, S Ivanov, Vanishing theorems on Hermitian manifolds, Differential Geom. Appl. 14 (2001) 251 MR1836272 2 W P Barth, K Hulek, C A M Peters, A Van de Ven, Compact complex surfaces, Ergeb. Math. Grenzgeb. 4, Springer (2004) MR2030225 3 S Bochner, Vector fields and Ricci curvature, Bull. Amer. Math. Soc. 52 (1946) 776 MR0018022 4 N Buchdahl, On compact Kähler surfaces, Ann. Inst. Fourier (Grenoble) 49 (1999) 287 MR1688136 5 N Buchdahl, A Nakai–Moishezon criterion for non-Kähler surfaces, Ann. Inst. Fourier (Grenoble) 50 (2000) 1533 MR1800126 6 E Calabi, On Kähler manifolds with vanishing canonical class, from: "Algebraic geometry and topology. A symposium in honor of S Lefschetz", Princeton Univ. Press (1957) 78 MR0085583 7 J Cheeger, K Fukaya, M Gromov, Nilpotent structures and invariant metrics on collapsed manifolds, J. Amer. Math. Soc. 5 (1992) 327 MR1126118 8 J Cheeger, M Gromov, M Taylor, Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds, J. Differential Geom. 17 (1982) 15 MR658471 9 G Dloussky, K Oeljeklaus, M Toma, Class $\mathrm VII_0$ surfaces with $b_2$ curves, Tohoku Math. J. 55 (2003) 283 MR1979500 10 I Enoki, On surfaces of class $\mathrm{VII}_{0}$ with curves, Proc. Japan Acad. Ser. A Math. Sci. 56 (1980) 275 MR581470 11 M Feldman, T Ilmanen, L Ni, Entropy and reduced distance for Ricci expanders, J. Geom. Anal. 15 (2005) 49 MR2132265 12 P Gauduchon, Le théorème de l'excentricité nulle, C. R. Acad. Sci. Paris Sér. A-B 285 (1977) MR0470920 13 B Guan, Q Li, Complex Monge–Ampere equations on Hermitian manifolds arXiv:0906.3548 14 R S Hamilton, Three-manifolds with positive Ricci curvature, J. Differential Geom. 17 (1982) 255 MR664497 15 R S Hamilton, Non-singular solutions of the Ricci flow on three-manifolds, Comm. Anal. Geom. 7 (1999) 695 MR1714939 16 S Ivanov, G Papadopoulos, Vanishing theorems and string backgrounds, Classical Quantum Gravity 18 (2001) 1089 MR1822270 17 S Kobayashi, H H Wu, On holomorphic sections of certain Hermitian vector bundles, Math. Ann. 189 (1970) 1 MR0270392 18 A Lamari, Le cône kählérien d'une surface, J. Math. Pures Appl. 78 (1999) 249 MR1687094 19 G M Lieberman, Second order parabolic differential equations, World Scientific Publishing Co. (1996) MR1465184 20 I Nakamura, On surfaces of class $\mathrm{VII}_0$ with curves, Invent. Math. 78 (1984) 393 MR768987 21 T Oliynyk, V Suneeta, E Woolgar, A gradient flow for worldsheet nonlinear sigma models, Nuclear Phys. B 739 (2006) 441 MR2214659 22 G Perelman, On the entropy formula for Ricci flow and its geometric applications arXiv:math/0211159 23 D H Phong, N Sesum, J Sturm, Multiplier ideal sheaves and the Kähler–Ricci flow, Comm. Anal. Geom. 15 (2007) 613 MR2379807 24 J Polchinski, String theory, I: an introduction to the bosonic string, Cambridge Monographs on Mathematical Physics, Cambridge Univ. Press (1998) MR1648555 25 N Šešum, Curvature tensor under the Ricci flow, Amer. J. Math. 127 (2005) 1315 MR2183526 26 J Streets, Regularity and expanding entropy for connection Ricci flow, J. Geom. Phys. 58 (2008) 900 MR2426247 27 J Streets, G Tian, A parabolic flow of pluriclosed metrics, Int. Math. Res. Not. 2010 (2010) 3101 MR2673720 28 J Streets, G Tian, Hermitian curvature flow, J. Eur. Math. Soc. 13 (2011) 601 MR2781927 29 A Teleman, Donaldson theory on non-Kählerian surfaces and class VII surfaces with $b_2=1$, Invent. Math. 162 (2005) 493 MR2198220 30 A Teleman, The pseudo-effective cone of a non-Kählerian surface and applications, Math. Ann. 335 (2006) 965 MR2232025 31 G Tian, New results and problems on Kähler–Ricci flow, from: "Géométrie différentielle, physique mathématique, mathématiques et société, II", Astérisque 322, Soc. Math. France (2008) 71 MR2521654 32 G Tian, Z Zhang, On the Kähler–Ricci flow on projective manifolds of general type, Chinese Ann. Math. Ser. B 27 (2006) 179 MR2243679 33 B Weinkove, The Calabi–Yau equation on almost-Kähler four-manifolds, J. Differential Geom. 76 (2007) 317 MR2330417