Boundary measurement and sign variation in real projective space [PDF]
Annales de l'Institut Henri Poincaré D, 2019 We define two generalizations of the totally nonnegative Grassmannian and determine their topology in the case of real projective space. We find the spaces to be PL manifolds with boundary which are homotopy equivalent to another real projective space of
John M. Machacek
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The topology of spaces of maps between real projective spaces [PDF]
Kyoto Journal of Mathematics, 2003 Kohhei Yamaguchi
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Bootstrapping Critical Ising Model on Three Dimensional Real Projective Space. [PDF]
Physical Review Letters, 2016 Given conformal data on a flat Euclidean space, we use crosscap conformal bootstrap equations to numerically solve the Lee-Yang model as well as the critical Ising model on a three dimensional real projective space.
Y. Nakayama
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Gradient-like observer design on the Special Euclidean group SE(3) with system outputs on the real projective space [PDF]
IEEE Conference on Decision and Control, 2015 A nonlinear observer on the Special Euclidean group SE(3) for full pose estimation, that takes the system outputs on the real projective space directly as inputs, is proposed.
Minh-Duc Hua +3 more
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Three ways to solve critical ϕ4 theory on 4 − dimensional real projective space: Perturbation, bootstrap, and Schwinger–Dyson equation [PDF]
, 2018 We solve the two-point function of the lowest dimensional scalar operator in the critical $\phi^4$ theory on $4-\epsilon$ dimensional real projective space in three different methods.
Chika Hasegawa, Y. Nakayama
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-expansion in critical ϕ3-theory on real projective space from conformal field theory [PDF]
, 2016 We use a compatibility between the conformal symmetry and the equations of motion to solve the one-point function in the critical ϕ3-theory (a.k.a. the critical Lee–Yang model) on the d = 6 − 𝜖 dimensional real projective space to the first nontrivial ...
Chika Hasegawa, Y. Nakayama
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On the two-systole of real projective spaces [PDF]
Revista Matemática Iberoamericana, 2020 We establish an integral-geometric formula for minimal two-spheres inside homogeneous three-spheres, and use it to provide a characterisation of each homogeneous metric on the three-dimensional real projective space as the unique metric with the largest possible two-systole among metrics with the same volume in its conformal class.
Lucas Ambrozio, Rafael Montezuma
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Index of minimal hypersurfaces in real projective spaces [PDF]
, 2023 We prove that for an embedded unstable one-sided minimal hypersurface of the $(n+1)$-dimensional real projective space, the Morse index is at least $n+2$, and this bound is attained by the cubic isoparametric minimal hypersurfaces. We also show that there exist closed embedded two-sided minimal surfaces in the 3-dimensional real projective space of ...
arxiv +1 more source
A 3-Manifold with no Real Projective Structure [PDF]
, 2015 We show that the connected sum of two copies of real projective 3-space does not admit a real projective structure. This is the first known example of a connected 3-manifold without a real projective structure.Comment: Minor corrections suggested by ...
Cooper, Daryl, Goldman, William
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Elliptic bindings for dynamically convex Reeb flows on the real projective three-space [PDF]
, 2015 The first result of this paper is that every contact form on $$\mathbb {R}P^3$$RP3 sufficiently $$C^\infty $$C∞-close to a dynamically convex contact form admits an elliptic–parabolic closed Reeb orbit which is 2-unknotted, has self-linking number $$-1/2$
Umberto L. Hryniewicz +1 more
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