An Introduction to Gaussian Geometry
by Sigmundur Gudmundsson
Publisher: Lund University 2009
Number of pages: 75
The purpose of these notes is to introduce the beautiful theory of Gaussian geometry i.e. the theory of curves and surfaces in three dimensional Euclidean space. The text is written for students with a good understanding of linear algebra, real analysis of several variables, and basic knowledge of the classical theory of ordinary differential equations and some topology.
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by Dominic Joyce - arXiv
An introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by recent results on singularities of special Lagrangian submanifolds, and their application to the SYZ Conjecture.
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