The 20 papers discuss such aspects as the curvature Veronese of a 3-manifold immersed in Euclidean space, topological formulas for closed semi-algebraic sets by Euler integration, the topological classification of simple Morse Bott functions on surfaces, critical points of the Gauss map and the exponential tangent map, and Legendre curves in the unit spherical bundle over the unit sphere
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So the average bond energy for per surface area of the unit sphere
n] and t > 0, the operator [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], where d[sigma] is the normalized Lebesgue measure over the unit sphere
Let BX and SX denote its closed unit ball and its unit sphere
We know that spherical ellipse is the intersection of the unit sphere
with a quadratic cone whose vertex is at the center of the sphere .
2] be the unit sphere
with center in the coordinate origin and north pole at N(0, 0, 1).
The points O and A are the centers of the unit sphere
and an arbitrary circle on a plane having angular position to [[LAMBDA].
In , it is constructed the Green's function for the Neumann problem formulated for the unit sphere
Among the current approaches, the unit sphere
concept, or Gauss sphere, is interesting.
581] asserts the existence for any natural number N of a partition of the unit sphere
It will be convenient to use radial coordinates and coordinates on the unit sphere
, defined by