docstr: Check sectional curvature lower bound.
  
  It is still a conjecture (see [BPP2020]_).
  
  References
  ----------
  .. [BPP2020] Brigant, A.L., Preston, S. and Puechmorel, S. (2021)
  ‘Fisher-Rao geometry of Dirichlet distributions’, Differential Geometry
  and its Applications, 74, p. 101702.
  Available at: https://doi.org/10.1016/j.difgeo.2020.101702.
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code: def test_sectional_curvature_lower_bound(self, n_points):
      """Check sectional curvature lower bound.
  
      It is still a conjecture (see [BPP2020]_).
  
      References
      ----------
      .. [BPP2020] Brigant, A.L., Preston, S. and Puechmorel, S. (2021)
      ‘Fisher-Rao geometry of Dirichlet distributions’, Differential Geometry
      and its Applications, 74, p. 101702.
      Available at: https://doi.org/10.1016/j.difgeo.2020.101702.
      """
      base_point = self.data_generator.random_point(n_points)
      tangent_vec_a = self.data_generator.random_tangent_vec(base_point)
      tangent_vec_b = self.data_generator.random_tangent_vec(base_point)
  
      res = self.space.metric.sectional_curvature(
          tangent_vec_a, tangent_vec_b, base_point
      )
      lower_bound = -1 / 2
      self.assertTrue(gs.all(res > lower_bound))
  
file_path: geomstats/geomstats/test_cases/information_geometry/beta.py
imports: import pytest
  import geomstats.backend
  from geomstats.geometry.symmetric_matrices import SymmetricMatrices
  from geomstats.test_cases.information_geometry.dirichlet import DirichletDistributionsTestCase, DirichletMetricTestCase
label_desc: Use image node_id 5 for calling the BetaMetricTestCase obj's underlying member method code with example usage: obj.test_sectional_curvature_lower_bound(n_points) without return types