3. Geometry of the Gauss Map: Definition of the Gauss Map and Its Fundamental Properties. 4. Intrinsic Geometry of Surfaces: Isometrics; Conformal Maps. 5. Global Differential Geometry: Rigidity of . M do Carmo, Differential Geometry of Curves and Surfaces, Prentice Hall 2. S Kobayashi and K Nomizu, Foundations of Differential Geometry Volume 1, Wiley 3. J Milnor, Morse Theory, Princeton UP 4. B O'Neill, Elementary Differential Geometry, Academic Press 5. ERRATA IN DO CARMO, DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES BJORN POONEN ThisisalistoferrataindoCarmo, Diﬀerential Geometry of Curves and Surfaces, Prentice-Hall, (25th printing). The errata were discovered by Bjorn Poonen and some students in.
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