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ebsd2021:tema6 [2021/09/09 16:16] escolaebsd2021:tema6 [2021/09/14 09:14] (current) escola
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-**Tema 6: Hadamard manifolds**+**Tema 6: Hadamard manifolds - part 1**
  
 In this section we study some geometrical properties of Riemannian manifolds $M$ with negative In this section we study some geometrical properties of Riemannian manifolds $M$ with negative
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 $\angle c'=\gamma$ has third side equal to $C_0$, then $C_0\leq C$. $\angle c'=\gamma$ has third side equal to $C_0$, then $C_0\leq C$.
  
-(2) {\sc Cosine law:$C^2\geq A^2+B^2-2AB\cos\gamma$.+(2) Cosine law: $C^2\geq A^2+B^2-2AB\cos\gamma$.
  
 **Proof.** (1) Let $g=\{g_p\}_{p\in M}$ be the metric on $M$. **Proof.** (1) Let $g=\{g_p\}_{p\in M}$ be the metric on $M$.
ebsd2021/tema6.1631214972.txt.gz · Last modified: 2021/09/09 16:16 by escola