The spinor and tensor fields with higher spin on spaces of constant curvature
Sign Up to like & getrecommendations! Published in 2021 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-021-09791-4
Abstract: In this article, we give all the Weitzenböck-type formulas among the geometric first-order differential operators on the spinor fields with spin $$j+1/2$$ j + 1 / 2 over Riemannian spin manifolds of constant curvature. Then,… read more here.
Keywords: spaces constant; spin; constant curvature; tensor fields ... See more keywords
McGehee Blow-Up of the Kepler Problem on Surfaces of Constant Curvature
Sign Up to like & getrecommendations! Published in 2020 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-020-00349-6
Abstract: In this work we address the local behaviour at collision of the Kepler problem on surfaces of constant curvature. A full description of dynamics in the extended energy surface is given relying in the energy… read more here.
Keywords: problem surfaces; kepler problem; surfaces constant; constant curvature ... See more keywords
Nonuniqueness of Conformal Metrics With Constant Q-curvature
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DOI: 10.1093/imrn/rnz045
Abstract: We establish several nonuniqueness results for the problem of finding complete conformal metrics with constant (4th-order) $Q$-curvature on compact and noncompact manifolds of dimension $\geq 5$. Infinitely many branches of metrics with constant $Q$-curvature, but… read more here.
Keywords: nonuniqueness conformal; conformal metrics; metrics constant; infinitely many ... See more keywords
On Two-Dimensional Polynomially Integrable Billiards on Surfaces of Constant Curvature
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DOI: 10.1134/s1064562418050253
Abstract: The algebraic version of the Birkhoff conjecture is solved completely for billiards with a piecewise C2-smooth boundary on surfaces of constant curvature: Euclidean plane, sphere, and Lobachevsky plane. Namely, we obtain a complete classification of… read more here.
Keywords: dimensional polynomially; two dimensional; surfaces constant; constant curvature ... See more keywords
Reverse Bonnesen-style inequalities on surfaces of constant curvature
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Mathematics"
DOI: 10.1142/s0129167x18500404
Abstract: This paper deals with the isoperimetric deficit upper bound for the convex domain in a surface ????????2 of constant curvature ???? by the containment measure of a convex domain to contain another convex do... read more here.
Keywords: reverse bonnesen; inequalities surfaces; constant curvature; style inequalities ... See more keywords