Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Restricted families of projections onto planes: the general case of
  nonvanishing geodesic curvature   It is shown that if $\gamma: [a,b] \to S^2$ is $C^3$ with $\det(\gamma,
\gamma', \gamma") \neq 0$, and if $A \subseteq \mathbb{R}^3$ is a Borel set
with Hausdorff dimension $\dim A \leq 5/2$, then $\dim \pi_{\theta} (A) \geq
\min\left\{ \dim A, \frac{ \dim A}{2} + \frac{3}{4} \right\}$ for a.e. $\theta
\in [a,b]$, where $\pi_{\theta}$ denotes projection onto the orthogonal
complement of $\gamma(\theta)$. This partially resolves a conjecture of
F\"assler and Orponen in the range $\dim A \leq 3/2$, which was previously
known only for non-great circles. For $3/2 < \dim A < 5/2$, this improves the
known lower bound for this problem.

31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom