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Riemannian geometry
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figures
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ADD_BOUNDARY_TERM_IN_THE__.tex
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An_important_identity_that_we__.tex
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More_generally_we_have_DeclareMathOperator__.tex
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Next_we_show_uniqueness_end__.tex
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begin_Corollary_Constant_speed_piecewise__.tex
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begin_Definition_For_t_geq__.tex
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begin_Definition_If_exp_p_bigg__.tex
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begin_Definition_We_define_the__.tex
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begin_Definition_complete_metric_space__.tex
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begin_Definition_global_and_local__.tex
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begin_Definition_pseudobundle_A_emph__.tex
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begin_Definition_pseudosection_Let_mathbf__.tex
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begin_Definition_restricted_pseudobundle_Let__.tex
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begin_Definition_smooth_vector_bundle__.tex
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begin_Lemma_Consider_a_vector__.tex
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begin_Lemma_Let_M_g__.tex
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begin_Lemma_Let_gamma_a__.tex
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begin_Theorem_Consider_exponential_coordinates__.tex
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begin_Theorem_Gauss_Lemma_end__.tex
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begin_Theorem_Let_M_g__.tex
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begin_Theorem_Let_M_g__1.tex
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begin_Theorem_Let_M_g__2.tex
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begin_Theorem_Let_M_g__3.tex
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begin_Theorem_Let_M_g__4.tex
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begin_Theorem_Let_M_g__5.tex
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begin_Theorem_Let_M_g__6.tex
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begin_Theorem_Let_M_g__7.tex
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begin_Theorem_Let_M_g__8.tex
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begin_Theorem_Let_kappa_x__.tex
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begin_Theorem_Let_mathbf_E__.tex
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begin_Theorem_Let_mathbf_E__1.tex
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begin_Theorem_We_have_gamma___.tex
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begin_Theorem_mathcal_D_is__.tex
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begin_Theorem_nabla_r_T__.tex
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begin_Theorem_nabla_r_T__1.tex
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begin_proof_Most_statements_are__.tex
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begin_proof_What_we_need__.tex
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header.tex
layout.md
section_Connections__.tex
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section_Existence_of_minimizing_geodesics__.tex
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section_Geodesics__.tex
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section_Integration_on_Riemannian_manifolds__.tex
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section_Vector_bundles_subsection_Basic__.tex
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subsection_Induced_bundles_Let_mathbf__.tex
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title.tex
untitled.tex
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