ListaGD.pdf

# ListaGD.pdf - LISTA DE EXERCICIOS DE GEOMETRIA DIFERENCIAL...

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LISTA DE EXERC ´ ICIOS DE GEOMETRIA DIFERENCIAL ALEXANDER ARBIETO AND BRUNO SANTIAGO Em todos os exerc´ ıcios a seguir, uma superf´ ıcie significa uma superf´ ıcie local. Exerc´ ıcio 0.1. Suponha uma superf´ ıcie X com a seguinte parametriza¸c˜ ao: X ( u, v ) = α ( u ) + β ( v ), onde α e β ao curvas parametrizadas regulares. Fixe um valor v 0 e considere a curva X ( u, v 0 ). Prove que todos os planos tangentes ao longo desta curva s˜ ao paralelos a uma reta fixa. Exerc´ ıcio 0.2. Seja

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• Summer '18
• h6h
• cos u, BRUNO SANTIAGO, ARBIETO AND BRUNO, ALEXANDER ARBIETO AND, AND BRUNO SANTIAGO

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