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7.2. GRADIENTE DE UNA FUNCI ´ ON 135 Puede demostrarse que toda variedad diferenciable admite una m´ etrica riemanniana, usando particiones de la unidad (v´ ease el Tema 8, Secci´on 8.2.4). Ejercicio. Sean ( Q, g ) = ( R , - dt 2 ), ( Q , g ) = ( S 3 , g S ), donde - dt 2 es la m´ etrica opuesta a la usual de R y g S es la m´ etrica inducida por (
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  • Winter '15
  • Espacio vectorial, Derivada, Producto escalar, Forma diferencial, Variedad diferenciable

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