Free energy and boundary anomalies on Sa×ℍb$$ {\mathbb{S}}^a \times {\mathrm{\mathbb{H}}}^b $$ spaces
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep10(2017)084
Abstract: A bstractWe compute free energies as well as conformal anomalies associated with boundaries for a conformal free scalar field. To that matter, we introduce the family of spaces of the form Sa×ℍb$$ {\mathbb{S}}^a \times {\mathrm{\mathbb{H}}}^b… read more here.
Keywords: mathbb times; free energy; mathrm mathbb; times mathrm ... See more keywords
Vortex Motion for the Lake Equations
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-020-03742-z
Abstract: The lake equations $$\begin{aligned} \left\{ \begin{aligned}&\nabla \cdot \big ( b \, {\mathbf {u}}\big ) = 0&\text {on}\ {\mathbb {R}}\times D , \\&\partial _t{\mathbf {u}} + ({\mathbf {u}}\cdot \nabla ){\mathbf {u}} = -\nabla h&\text {on}\ {\mathbb… read more here.
Keywords: vortex motion; lake equations; text mathbb; mathbb times ... See more keywords
On the class of metrics g on $${\mathbb {S}}^2\times {\mathbb {S}}^2$$S2×S2 conformal to the standard metric $$g_0$$g0 induced by $${\mathbb {R}}^6$$R6 and the Hopf conjecture
Sign Up to like & getrecommendations! Published in 2018 at "Afrika Matematika"
DOI: 10.1007/s13370-017-0523-7
Abstract: The aim of this work is to prove that Hopf conjecture is true on the class of metrics g on $$M={\mathbb {S}}^2\times {\mathbb {S}}^2$$M=S2×S2 conformal to the standard metric $$g_0$$g0 induced by $${\mathbb {R}}^6$$R6 on… read more here.
Keywords: mathbb conformal; times mathbb; metrics mathbb; hopf conjecture ... See more keywords
$${{\mathbb {Z}}}_2\times {{\mathbb {Z}}}_2$$-graded mechanics: the classical theory
Sign Up to like & getrecommendations! Published in 2020 at "European Physical Journal C"
DOI: 10.1140/epjc/s10052-020-8242-x
Abstract: $${{\mathbb {Z}}}_2\times {{\mathbb {Z}}}_2$$-graded mechanics admits four types of particles: ordinary bosons, two classes of fermions (fermions belonging to different classes commute among each other) and exotic bosons. In this paper we construct the basic… read more here.
Keywords: mathbb graded; graded mechanics; times mathbb; mathbb times ... See more keywords
A Note on Positivity of Two-Dimensional Differential Operators
Sign Up to like & getrecommendations! Published in 2017 at "Filomat"
DOI: 10.2298/fil1714651a
Abstract: We consider the two-dimensional differential operator $A^{(t,x)}u(t,x)=-a_{11}% \left( t,x\right) u_{tt}-a_{22}(t,x)u_{xx}+\sigma u$ defined on functions on the half-plane $\mathbb{R}^{+}\times \mathbb{R}$ with the boundary condition $u(0,x)=0,$ $x\in \mathbb{R}$ where $a_{ii}(t,x),$ $i=1,2$ are continuously differentiable and satisfy the… read more here.
Keywords: dimensional differential; times mathbb; mathbb times; two dimensional ... See more keywords
A characterization of the product of the rational numbers and complete Erdős space
Sign Up to like & getrecommendations! Published in 2022 at "Canadian Mathematical Bulletin"
DOI: 10.4153/s0008439522000091
Abstract: Erdős space $\mathfrak{E}$ and complete Erdős space $\mathfrak{E}_c$ have been previously shown to have topological characterizations. In this paper, we provide a topological characterization of the topological space $\mathbb{Q}\times\mathfrak{E}_c$, where $\mathbb{Q}$ is the space of… read more here.
Keywords: rational numbers; complete erd; erd space; mathbb times ... See more keywords