sagemathgh-38816: fix all pep E302 in manifolds and geometry
    
this is about fixing the warning

E302 expected 2 blank lines, found 1

in the `manifolds` and `geometry` folders.

Purely scripted using `autopep8`

### 📝 Checklist

- [x] The title is concise and informative.
- [x] The description explains in detail what this PR is about.
- [ ] I have linked a relevant issue or discussion.
- [ ] I have created tests covering the changes.
- [ ] I have updated the documentation and checked the documentation
preview.
    
URL: sagemath#38816
Reported by: Frédéric Chapoton
Reviewer(s): Vincent Macri

Author: Release Manager

src/sage/geometry/cone_catalog.py

@@ -72,6 +72,7 @@
 # the top-level non-underscore functions defined in this module.
 #
 
+
 def _preprocess_args(ambient_dim, lattice):
     r"""
     Preprocess arguments for cone-constructing functions.

src/sage/geometry/cone_critical_angles.py

@@ -40,6 +40,7 @@
 from sage.rings.real_double import RDF
 from sage.symbolic.constants import pi
 
+
 def _normalize_gevp_solution(gevp_solution):
     r"""
     Normalize the results of :func:`solve_gevp_nonzero` and

src/sage/geometry/hyperbolic_space/hyperbolic_coercion.py

@@ -29,6 +29,7 @@
 from sage.misc.lazy_import import lazy_import
 lazy_import('sage.misc.call', 'attrcall')
 
+
 class HyperbolicModelCoercion(Morphism):
     """
     Abstract base class for morphisms between the hyperbolic models.
@@ -148,6 +149,7 @@ def __invert__(self):
 # From UHP #
 ############
 
+
 class CoercionUHPtoPD(HyperbolicModelCoercion):
     """
     Coercion from the UHP to PD model.
@@ -188,6 +190,7 @@ def image_isometry_matrix(self, x):
             return matrix([[1,-I],[-I,1]]) * x * matrix([[1,I],[I,1]]).conjugate()/Integer(2)
         return matrix([[1,-I],[-I,1]]) * x * matrix([[1,I],[I,1]])/Integer(2)
 
+
 class CoercionUHPtoKM(HyperbolicModelCoercion):
     """
     Coercion from the UHP to KM model.
@@ -227,6 +230,7 @@ def image_isometry_matrix(self, x):
         """
         return SL2R_to_SO21(x)
 
+
 class CoercionUHPtoHM(HyperbolicModelCoercion):
     """
     Coercion from the UHP to HM model.
@@ -269,6 +273,7 @@ def image_isometry_matrix(self, x):
 # From PD #
 ###########
 
+
 class CoercionPDtoUHP(HyperbolicModelCoercion):
     """
     Coercion from the PD to UHP model.
@@ -318,6 +323,7 @@ def image_isometry_matrix(self, x):
             return matrix([[1,I],[I,1]]) * x * matrix([[1,-I],[-I,1]]).conjugate() / Integer(2)
         return matrix([[1,I],[I,1]]) * x * matrix([[1,-I],[-I,1]]) / Integer(2)
 
+
 class CoercionPDtoKM(HyperbolicModelCoercion):
     """
     Coercion from the PD to KM model.
@@ -444,6 +450,7 @@ def image_isometry_matrix(self, x):
         """
         return SO21_to_SL2R(x)
 
+
 class CoercionKMtoPD(HyperbolicModelCoercion):
     """
     Coercion from the KM to PD model.
@@ -482,6 +489,7 @@ def image_isometry_matrix(self, x):
         return (matrix(2,[1,-I,-I,1]) * SO21_to_SL2R(x) *
                 matrix(2,[1,I,I,1])/Integer(2))
 
+
 class CoercionKMtoHM(HyperbolicModelCoercion):
     """
     Coercion from the KM to HM model.
@@ -524,6 +532,7 @@ def image_isometry_matrix(self, x):
 # From HM #
 ###########
 
+
 class CoercionHMtoUHP(HyperbolicModelCoercion):
     """
     Coercion from the HM to UHP model.
@@ -560,6 +569,7 @@ def image_isometry_matrix(self, x):
         """
         return SO21_to_SL2R(x)
 
+
 class CoercionHMtoPD(HyperbolicModelCoercion):
     """
     Coercion from the HM to PD model.
@@ -596,6 +606,7 @@ def image_isometry_matrix(self, x):
         return (matrix(2,[1,-I,-I,1]) * SO21_to_SL2R(x) *
                 matrix(2,[1,I,I,1])/Integer(2))
 
+
 class CoercionHMtoKM(HyperbolicModelCoercion):
     """
     Coercion from the HM to KM model.
@@ -635,6 +646,7 @@ def image_isometry_matrix(self, x):
 #####################################################################
 ## Helper functions
 
+
 def SL2R_to_SO21(A):
     r"""
     Given a matrix in `SL(2, \RR)` return its irreducible representation in

src/sage/geometry/hyperbolic_space/hyperbolic_isometry.py

@@ -620,6 +620,7 @@ def attracting_fixed_point(self):
         fp = self._cached_isometry.attracting_fixed_point()
         return self.domain().get_point(fp)
 
+
 class HyperbolicIsometryUHP(HyperbolicIsometry):
     r"""
     Create a hyperbolic isometry in the UHP model.
@@ -881,6 +882,7 @@ def attracting_fixed_point(self):  # UHP
             return self.domain().get_point(infinity)
         return self.domain().get_point(v[0] / v[1])
 
+
 class HyperbolicIsometryPD(HyperbolicIsometry):
     r"""
     Create a hyperbolic isometry in the PD model.
@@ -982,6 +984,7 @@ def _orientation_preserving(A): #PD
         return bool(A[1][0] == A[0][1].conjugate() and A[1][1] == A[0][0].conjugate()
                     and abs(A[0][0]) - abs(A[0][1]) != 0)
 
+
 class HyperbolicIsometryKM(HyperbolicIsometry):
     r"""
     Create a hyperbolic isometry in the KM model.

src/sage/geometry/hyperbolic_space/hyperbolic_point.py

@@ -74,6 +74,7 @@
 
 from sage.geometry.hyperbolic_space.hyperbolic_isometry import HyperbolicIsometry
 
+
 class HyperbolicPoint(Element):
     r"""
     Abstract base class for hyperbolic points.  This class should never

src/sage/geometry/hyperplane_arrangement/check_freeness.py

@@ -26,6 +26,7 @@
 from sage.matrix.constructor import matrix
 import sage.libs.singular.function_factory as fun_fact
 
+
 def less_generators(X):
     """
     Reduce the generator matrix of the module defined by ``X``.
@@ -63,6 +64,7 @@ def less_generators(X):
         Kd = set(range(X.nrows())).difference(K)
         X = X.matrix_from_rows(sorted(Kd))
 
+
 def construct_free_chain(A):
     """
     Construct the free chain for the hyperplanes ``A``.

src/sage/geometry/lattice_polytope.py

@@ -415,6 +415,7 @@ def ReflexivePolytope(dim, n):
 # Sequences of reflexive polytopes
 _rp = [None] * 4
 
+
 def ReflexivePolytopes(dim):
     r"""
     Return the sequence of all 2- or 3-dimensional reflexive polytopes.
@@ -494,6 +495,7 @@ def is_LatticePolytope(x):
     deprecation(34307, "is_LatticePolytope is deprecated, use isinstance instead")
     return isinstance(x, LatticePolytopeClass)
 
+
 @richcmp_method
 class LatticePolytopeClass(ConvexSet_compact, Hashable, sage.geometry.abc.LatticePolytope):
     r"""
@@ -4982,6 +4984,7 @@ def part_of_point(self, i):
 
 _palp_dimension = None
 
+
 def _palp(command, polytopes, reduce_dimension=False):
     r"""
     Run ``command`` on vertices of given

src/sage/geometry/polyhedron/backend_polymake.py

@@ -724,6 +724,8 @@ def _test_polymake_pickling(self, tester=None, other=None, **options):
         tester.assertEqual(P.AFFINE_HULL, P1.AFFINE_HULL)
 
 #########################################################################
+
+
 class Polyhedron_QQ_polymake(Polyhedron_polymake, Polyhedron_QQ):
     r"""
     Polyhedra over `\QQ` with polymake.

src/sage/geometry/polyhedron/base0.py

@@ -35,6 +35,7 @@
 from sage.structure.element import Element
 import sage.geometry.abc
 
+
 class Polyhedron_base0(Element, sage.geometry.abc.Polyhedron):
     """
     Initialization and basic access for polyhedra.

src/sage/geometry/polyhedron/base2.py

@@ -37,6 +37,7 @@
 from sage.modules.free_module_element import vector
 from .base1 import Polyhedron_base1
 
+
 class Polyhedron_base2(Polyhedron_base1):
     """
     Methods related to lattice points.