참고문헌
- 도널 오셔 저, 전대호 역, 푸앵카레의 추측, 출판사 까치, 2007.
- Jeongwook Chang and Jinho Lee, Harnack type inequalities for the porous medium equation, preprint
- Bennett Chow et al., The Ricci flow: techniques and applications, Part I. Geometric aspects, Mathematical Surveys and Monographs 135, AMS., Provindence, RI, 2007.
- Bennett Chow et al., The Ricci flow: techniques and applications, Part II. Geometric aspects, Mathematical Surveys and Monographs 144, AMS., Provindence, RI, 2008.
- Bennett Chow et al., The Ricci flow on the 2-sphere, J. Differential Geom., 33 (1991), no. 2, 325-334. https://doi.org/10.4310/jdg/1214446319
- E. Di Benedetto, Intrinsic Harnack type inequalities for solutions of certain degenerate parabolic equations, Arch. Rational Mech. Anal., 100 (1988), no. 2, 129-147. https://doi.org/10.1007/BF00282201
- James Jr. Eells and J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109-160. https://doi.org/10.2307/2373037
- Richard S. Hamilton, Three-manifolds with positive Ricci curvature, J. Differential Geom., 17 (1982), no. 2, 255-306.
- Richard S. Hamilton, The Harnack estimate for the Ricci flow, J. Differential Geom., 37 (1993), 225-243. https://doi.org/10.4310/jdg/1214453430
- Richard S, Hamilton, The formation of singularities in the Ricci flow, Surveys in differential geometry, Vol, II (Cambridge, MA, 1993), 7-136, Internat, Press, Cambridge, MA, 1995.
- Richard S, Hamilton, Non-Singular solutions of the Ricci flow on three-manifolds, Comm. Anal. Geom., 7 (1999), no, 4, 695-729.
- Gerhard Huisken and Tom Ilmanen, The inverse mean curvature flow and the Riemannian Penrose inequality, J. Differential Geom., 59 (2001), no. 3, 353-437. https://doi.org/10.4310/jdg/1090349447
- Grisha Perelman, The entropy formula for the Ricci flow and its geometric applications, arXiv:Math.DC/0211159.
- Grisha Perelman, Ricci flow with surgery on three-manifolds, arXiv:Math. DC/ 0303109.
- Grisha Perelman, Finite extinction time for the solutions to the Ricci flow on certain three-manifolds, arXiv:Math. DC/0307245.