Zobrazeno 1 - 10
of 6 345
pro vyhledávání: '"SPACES of constant curvature"'
Autor:
Deshmukh, Aniruddha, Kumar, Ashisha
In this article, we give a unified proof of the end-point estimates of the totally-geodesic $k$-plane transform of radial functions on spaces of constant curvature. The problem of getting end-point estimates is not new and some results are available
Externí odkaz:
http://arxiv.org/abs/2408.13541
Autor:
Jerónimo-Castro, J., Makai Jr, E.
High proved the following theorem. If the intersections of any two congruent copies of a plane convex body are centrally symmetric, then this body is a circle. In our paper we extend the theorem of High to the sphere and the hyperbolic plane, and par
Externí odkaz:
http://arxiv.org/abs/2407.13396
Autor:
Borisenko, Alexander A.
In 1972, E. P. Senkin generalized the celebrated theorem of A. V. Pogorelov on unique determination of compact convex surfaces by their intrinsic metrics in the Euclidean 3-space $E^3$ to higher dimensional Euclidean spaces $E^{n+1}$ under a mild ass
Externí odkaz:
http://arxiv.org/abs/2406.15761
Let us have in S^2, R^2 or H^2 a pair of convex bodies, for S^2 different from S^2, such that the intersections of any congruent copies of them are centrally symmetric. Then our bodies are congruent circles. If the intersections of any congruent copi
Externí odkaz:
http://arxiv.org/abs/2406.10055
Autor:
Chihara, Hiroyuki
The X-ray transform on the plane or on the three-dimensional Euclidean space can be considered as the measurements of CT scanners for normal human tissue. If the human body contains metal regions such as dental implants, stents in blood vessels, meta
Externí odkaz:
http://arxiv.org/abs/2402.06899
We show the existence of families of periodic polyhedra in spaces of constant curvature whose fundamental domains can be obtained by attaching prisms and antiprisms to Archimedean solids. These polyhedra have constant discrete curvature and are weakl
Externí odkaz:
http://arxiv.org/abs/2401.04031
Autor:
Besau, Florian, Werner, Elisabeth M.
We investigate a natural analog to Lutwak's $p$-affine surface area in $d$-dimensional spherical, hyperbolic and de Sitter space. In particular, we show that these curvature measures appear naturally as the volume derivative of floating bodies of non
Externí odkaz:
http://arxiv.org/abs/2311.03070
Autor:
Krasnov, V. A.1 (AUTHOR) krasnov_va@rudn.university
Publikováno v:
Journal of Mathematical Sciences. Nov2022, Vol. 267 Issue 5, p554-670. 117p.