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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

0 votes
1 answer
180 views

Convex planar curves and intersections [closed]

Given two planar regular convex not-closed curves C and C_1. Let A the set of finite intersections between C and C-1. Then what is the stricter upper bound of |A|? I would say 2. Thanks.
Francesco Ciardiello's user avatar
2 votes
2 answers
143 views

Intersection of segments on a plane

Given a set A composed by six non collinear distinct points on the plane, let us consider only the partitions whose elements are pairs of points in A. Then, we call the set of such partitions by P(A). …
Francesco Ciardiello's user avatar
2 votes
0 answers
34 views

Do internal stable sets contain big manifolds?

Given two strictly concave functions $u_{i}$ with continuous derivatives in $\mathbb{R}^{k}$. We define their upper levels at a point $x$ of these functions as the set of points y such that $u_i(y)>u_ …
Francesco Ciardiello's user avatar