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Experimental Mathematics Volume 14, 2005 - Issue 1
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Original Article

Einstein Metrics on Exotic Spheres in Dimensions 7, 11, and 15

Charles P. Boyer Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131
,
Krzysztof Galicki Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131
,
János Kollár Department of Mathematics, Princeton University, Princeton, NJ 08544-1000
&
Evan Thomas Department of Physiology, University of Melbourne, Parkville, 3010, Australia
Pages 59-64 | Published online: 30 Jan 2011

  • Charles P. Boyer and Krzysztof Galicki. "New Einstein Metrics in Dimension Five." J. Differential Geom. 57:3 (2001), 443–463.
  • Charles P. Boyer, Krzysztof Galicki, and János Kollár. "Einstein Metrics on Spheres." To appear in Ann. of Math. 2004.
  • Egbert Brieskorn. "Beispiele zur Differentialtopologie von Singularitäten." Invent. Math. 2 (1966), 1–14.
  • Ronald L. Graham, Donald E. Knuth, and Oren Patashnik. Concrete Mathematics. Reading, MA: Addison-Wesley Publishing Company, 1989.
  • F. Hirzebruch. "Pontrjagin Classes of Rational Homology Manifolds and the Signature of Some Affine Hypersurfaces." In Proceedings of Liverpool Singularities Symposium, II (1969/1970) (reprinted in F. Hirzebruch, Gesammelte Abhandlungen, band II), pp. 207–212, Lecture Notes in Math. 209. Berlin: Springer, 1971.
  • Michel A. Kervaire and John W. Milnor. "Groups of Homotopy Spheres. I." Ann. of Math. 77:2 (1963), 504–537.
  • John Milnor. Singular Points of Complex Hypersurfaces. Annals of Mathematics Studies, 61. Princeton, NJ: Princeton University Press, 1968.
  • N. J. A. Sloane. "The On-Line Encyclopedia of Integer Sequences." Available from World Wide Web (http://www.research.att.com/~njas/sequences/), 2003. http://www.research.att.com/~njas/sequences
  • S. Smale. "On the Structure of Manifolds." Amer. J. Math. 84 (1962), 387–399.
  • K. Soundararajan. "Approximating 1 from below Using n Egyptian Fractions." Preprint, math.CA/0502247, 2005.
  • Kentaro Yano and Masahiro Kon. Structures on Manifolds, Series in Pure Mathematics, 3. Singapore: World Scientific Publishing Co., 1984.

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