Quantum Differentiability on Noncommutative Euclidean Spaces
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-019-03605-2
Abstract: We study the topic of quantum differentiability on quantum Euclidean $d$-dimensional spaces (otherwise known as Moyal $d$-spaces), and we find conditions that are necessary and sufficient for the singular values of the quantised differential to… read more here.
Keywords: euclidean spaces; noncommutative euclidean; differentiability; differentiability noncommutative ... See more keywords
Equiangular Lines in Low Dimensional Euclidean Spaces
Sign Up to like & getrecommendations! Published in 2021 at "Combinatorica"
DOI: 10.1007/s00493-020-4523-0
Abstract: We show that the maximum cardinality of an equiangular line system in 14 and 16 dimensions is 28 and 40, respectively, thereby solving a longstanding open problem. We also improve the upper bounds on the… read more here.
Keywords: dimensional euclidean; euclidean spaces; low dimensional; lines low ... See more keywords
Biharmonic δ(r)-ideal hypersurfaces in Euclidean spaces are minimal
Sign Up to like & getrecommendations! Published in 2020 at "Differential Geometry and Its Applications"
DOI: 10.1016/j.difgeo.2020.101665
Abstract: Abstract A submanifold M n of a Euclidean space E N is called biharmonic if Δ H → = 0 , where H → is the mean curvature vector of M n . A well… read more here.
Keywords: euclidean spaces; euclidean space; biharmonic ideal; ideal hypersurfaces ... See more keywords
Classification of almost Yamabe solitons in Euclidean spaces
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.10.016
Abstract: In this paper, we completely classify almost Yamabe solitons on hypersurfaces in Euclidean spaces arisen from the position vector field. Some results of almost Yamabe solitons with a concurrent vector field and almost Yamabe solitons… read more here.
Keywords: classification almost; vector field; yamabe solitons; solitons euclidean ... See more keywords
Submanifolds of Cartan–Hartogs domains and complex Euclidean spaces
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.03.043
Abstract: Abstract We study the non-existence of common submanifolds of a complex Euclidean space and a Cartan–Hartogs domain equipped with their canonical metrics. read more here.
Keywords: hartogs domains; cartan hartogs; complex euclidean; euclidean spaces ... See more keywords
Biconservative ideal hypersurfaces in Euclidean spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.10.009
Abstract: Abstract A biconservative submanifold of a Riemannian manifold is a sub-manifold with divergence free stress-energy tensor with respect to bienergy. These are generalizations of biharamonic submanifolds. In 2013, B.Y. Chen and M.I. Munteanu proved that… read more here.
Keywords: biconservative ideal; euclidean spaces; euclidean space; ideal hypersurfaces ... See more keywords
Non-commutative ergodic averages of balls and spheres over Euclidean spaces
Sign Up to like & getrecommendations! Published in 2020 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2018.40
Abstract: In this paper, we establish a non-commutative analogue of Calderón’s transference principle, which allows us to deduce the non-commutative maximal ergodic inequalities from the special case—operator-valued maximal inequalities. As applications, we deduce the non-commutative Stein–Calderón… read more here.
Keywords: commutative ergodic; euclidean spaces; averages balls; ergodic averages ... See more keywords
Virial coefficients of hard, homonuclear dumbbells in two- to four-dimensional Euclidean spaces.
Sign Up to like & getrecommendations! Published in 2023 at "Physical review. E"
DOI: 10.1103/physreve.107.024129
Abstract: We calculated virial coefficients up to the eighth order for hard dumbbells in two-, three-, and four-dimensional Euclidean spaces employing Mayer-sampling Monte Carlo simulations. We improved and extended available data in two dimensions, provide virial… read more here.
Keywords: virial coefficients; four dimensional; dimensional euclidean; euclidean spaces ... See more keywords