[1] Andreotti A., On a theorem of Torelli, Amer. J. Math., 1958, 80(4): 801-828.

[2] Arbarello E., Cornalba M., Teichmüller space via Kuranishi families, Ann. Sc. Norm. Super. Pisa Cl. Sci., 2009, 8(5): 89-116.

[3] Arbarello E., Cornalba M., Griffiths P., Geometry of Algebraic Curves, Vol. II, with a Contribution by Joseph Daniel Harris, Grundlehren der Mathematischen Wissenschaften, Spring-Verlag, Berlin, Vol. 268, 2011.

[4] Arbarello E., Cornalba M., Griffiths P., et al., Geometry of Algebraic Curves, Vol. I, Grundlehren der Mathematischen Wissenschaften, Spring-Verlag, New York, 1985.

[5] Berndtsson B., Strict and non strict positivity of direct image bundles, Math. Z., 2010, 269(3-4): 1201-1218.

[6] Carlson J., Green M., Griffiths P., et al., Infinitesimal variations of Hodge structure I, Compositio Math., 1983, 50(2-3): 109-205.

[7] Farkas H., Kra I., Riemann Surfaces, Graduate text in Mathematics 71, Spring-Verlag, New York, 1991.

[8] Griffiths P., Topics in Transcendental Algebraic Geometry, Annals of Mathematics Studies, Princeton Press, Princeton, New Jersy, Num. 106, 1984.

[9] Griffiths P., Harris J., Principles of Algebraic Geometry, Wiley Interscience Publication, New York, 1994.

[10] Guan F., Liu K., Todorov A., A global Torelli Theorem for Calabi-Yau manifolds, arXiv: 1112.1163. math.AG.

[11] Hain R., The rational cohomology ring of the moduli space of abelian 3-folds, Math. Res. Letter., 2002, 9(4): 473-491.

[12] Hain R., Looijenga E., Mapping class groups and moduli spaces of curves, Algebraic Geometry-Santa Cruz, 1995: 97-142, Proc. Sympos. Pure Math., 62, Part 2, Amer. Math. Soc., Providence, RI, 1997.

[13] Karpishpan Y., On the higher-order differentials of the period map. Duke Math. J., 1993, 72(3): 541-571.

[14] Kodaira K., Akao K., Complex Manifolds and Deformation of Complex Structures, Grundlehren der Mathematischen Wissenschaften, Spring-Verlag, New York, Vol, 283, 1986.

[15] Liu K., Rao S., Yang X., Quasi-isometry and deformations of Calabi-Yau manifolds, Invent. Math., 2015, 199(2): 423-453.

[16] Liu K., Sun X., Yau S. T., Recent Development on the Geometry of the Teichmüller and Moduli Spaces of Riemann Surfaces, Surveys in Differential Geometry, Vol. XIV. Geometry of Riemann Surfaces and Their Moduli Spaces, International Press, Somerville, Massachusetts, 221-259.

[17] Morrow J., Kodaira K., Complex Manifolds, American Mathematical Society Publishing, New York: Holt, Rinehart and Winston, 1971.

[18] Nag S., The Complex Analytic Theory of Teichmüller Space, Wiley Interscience Publication, New York, 1988.

[19] Oort F., Steenbrink J., The local Torelli Problem for Algebraic Curves, In book: Journèes de Géometrie Algèbrique d'Angers, Juillet 1979/Algebraic Geometry, Angers, Publisher: Sijthoff & Noordhoff, 1979: 157-204.

[20] Rao S., Zhao Q., Applications of deformation formula of holomorphic one-forms, Pacific J. Math., 2013, 266(1): 221-255.

[21] Shimizu Y., Ueno K., Advanced in Moduli Theory, Trans. Math. Monographs, Vol. 206, AMS.

[22] Wolpert S., Chern forms and Riemann tensor for the moduli space of curves, Invention Math., 1986, 85: 119-145.

[23] Wolpert S., The hyperbolic metric and the geometry of universal curve, J. Diff. Geom., 1990, 31(2): 417-472.

[24] Torelli R., Sulle Varieta' di Jacobi I, II, Rendiconti R. Accad. ei Lincei, 1913, 22-2: 98-103, 437-441.

[25] Weil A., Zum Beweis des Torellischen Satz, Nachrichten der Akademie der Wissenschaften Göttingen, Math. -Phys. Klasse, 1957, 2: 33-53 (German).

[26] Yin F., Geometry of the Period map of Riemann Surface, Ph.D Thesis, Zhejiang University, Hangzhou, 2010.