Results 21 to 30 of about 763,072 (344)
On nonimmersion of real projective spaces
AbstractIn the classical problem of immersions of real projective spaces in Euclidean space, we obtain a new optimal result for the real projective space P16n+11 with α(n)=2. This nonimmersion result is proved using obstruction theory.
Neeta Singh
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Fractal Dimension of Fractal Functions on the Real Projective Plane
In this article, we consider an iterated functions system on the non-Euclidean real projective plane which has a linear structure. Then, we study the fractal dimension of the associated curve as a subset of the projective space and like a set of the ...
Alamgir Hossain+2 more
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Packings in Real Projective Spaces [PDF]
31 pages, 2 ...
Matthew Fickus+2 more
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Aspects of CFTs on real projective space [PDF]
Abstract We present an analytic study of conformal field theories on the real projective space R P d
Simone Giombi+2 more
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Chow transformation of coherent sheaves
We define a dual of the Chow transformation of currents on any complex projective manifold. This integral transformation is a factor of a left inverse of the Chow transformation and its composition with the Chow transformation is a right inverse of a ...
Méo Michel
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On the quaternion projective space
Apart from being a vital and exciting field in mathematics with interesting results, projective spaces have various applications in design theory, coding theory, physics, combinatorics, number theory and extremal combinatorial problems. In this paper, we
Y. Omar+4 more
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On the two-systole of real projective spaces [PDF]
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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The topology of spaces of maps between real projective spaces [PDF]
Kohhei Yamaguchi
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On Severi varieties as intersections of a minimum number of quadrics
Let $\cV$ be a variety related to the second row of the Freudenthal-Tits Magic square in $N$-dimensional projective space over an arbitrary field. We show that there exist $M\leq N$ quadrics intersecting precisely in $\cV$ if and only if there exists a ...
Hendrik Van Maldeghem, Magali Victoor
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Index of minimal hypersurfaces in real projective spaces [PDF]
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