Sun-Yung A. Chang, Matthew J. Gursky, Paul C. Yang, An Equation of Monge-Ampère Type in Conformal Geometry, and Four-Manifolds of Positive Ricci Curvature, Annals of Mathematics, Second Series, Vol.

How can the tiniest particles and the vast structure of the universe be explained using the same kind of mathematics? This ...

Conformal geometry examines transformations that preserve angles, revealing deep interrelations between geometry and analysis. When combined with nonlinear elliptic equations—which are ...

Elementary Theorems Relating to the Geometry of a Space of Three Dimensions, and of Uniform Positive Curvature in the Fourth Dimension. By Simon Newcomb. (From the Journal fur Mathematik, Band ...

Edward Kasner, John DeCicco, Geometry of the Fourier Heat Equation, Transactions of the American Mathematical Society, Vol. 60, No. 1 (Jul., 1946), pp. 119-132 ...