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pro vyhledávání: '"Perdomo, Oscar M."'
Autor:
Perdomo, Oscar M.
Let $M\subset S^{n+1}\subset\mathbb{R}^{n+2}$ be a compact minimal hypersurface of the $n$-dimensional Euclidean unit sphere. Let us denote by $|A|^2$ the square of the norm of the second fundamental form and $J(f)=-\Delta f-nf-|A|^2f$ the stability
Externí odkaz:
http://arxiv.org/abs/1902.10801
Autor:
Perdomo, Oscar M
We will show that the period $T$ of a closed orbit of the planar circular restricted three-body problem (viewed on rotating coordinates) depends on the region it encloses. Roughly speaking, we show that, $2 T=k\pi+\int_\Omega g$ where $k$ is an integ
Externí odkaz:
http://arxiv.org/abs/1611.07550
Autor:
Perdomo, Oscar M.
Let us consider the elliptic restricted three body problem (Elliptic RTBP) for the Jupiter Sun system with eccentricity $e=0.048$ and $\mu=0.000953339$. Let us denote by $T$ the period of their orbits. In this paper we provide initial conditions for
Externí odkaz:
http://arxiv.org/abs/1606.01819
Autor:
Perdomo, Oscar M.
It is well known that, from the Newtonian point of view, the Lagrangian point $L_4$ in the circular restricted three body is stable if $\mu< \frac{1}{18}(9-\sqrt{19})\approx 0.03852$. In this paper we will provide a formula that allows us to compute
Externí odkaz:
http://arxiv.org/abs/1605.04527
Autor:
Perdomo, Oscar M
It is well known that objects can oscillate around the Lagrangian point L4. In this manuscript we compute the period of these oscillations by computing the exact expression of the characteristic polynomial of the matrix that determined the stability
Externí odkaz:
http://arxiv.org/abs/1601.00924
Autor:
Perdomo, Oscar M.
Publikováno v:
The American Mathematical Monthly, 2019 Mar 01. 126(3), 237-251.
Externí odkaz:
https://www.jstor.org/stable/48662498
Autor:
Perdomo, Oscar M.
Publikováno v:
Pacific J. Math. 275 (2015) 1-18
In this paper we show all possible ramps where an object can move with constant speed under the effect of gravity and friction. The planar ramp are very easy to describe, just rotate a curve with velocity vector (tanh(as),sech(as)). Recall that tanh(
Externí odkaz:
http://arxiv.org/abs/1305.0402
Autor:
Perdomo, Oscar M., Brasil, Aldir
It is known that the totally umbilical hypersurfaces in the (n+1)-dimensional spheres are characterized as the only hypersurfaces with weak stability index 0. That is, a compact hypersurface with constant mean curvature, cmc, in S^{n+1}, different fr
Externí odkaz:
http://arxiv.org/abs/1202.2050
Autor:
Perdomo, Oscar M.
In a previous paper the author introduced the notion of TreadmillSled of a curve, which is an operator that takes regular curves in R^2 to curves in R^2. This operator turned out to be very useful to describe helicoidal surfaces, for example, it prov
Externí odkaz:
http://arxiv.org/abs/1105.3460
Autor:
Perdomo, Oscar M.
In this paper we prove that the only algebraic constant mean curvature (cmc) surfaces in R^3 of order less than four are the planes, the spheres and the cylinders. The method used heavily depends on the efficiency of algorithms to compute Groebner Ba
Externí odkaz:
http://arxiv.org/abs/1002.0174