Results 1 to 10 of about 1,487,218 (229)
Aspects of CFTs on real projective space [PDF]
Journal of Physics A: Mathematical and Theoretical, 2020 We present an analytic study of conformal field theories on the real projective space RPd , focusing on the two-point functions of scalar operators. Due to the partially broken conformal symmetry, these are non-trivial functions of a conformal cross ...
S. Giombi, H. Khanchandani, Xinan Zhou
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Moduli Spaces of Lumps on Real Projective Space [PDF]
Journal of Mathematical Physics, 2015 Harmonic maps that minimize the Dirichlet energy in their homotopy classes are known as lumps. Lump solutions on real projective space are explicitly given by rational maps subject to a certain symmetry requirement.
Abera A. Muhamed +6 more
core +6 more sources
Rarita-Schwinger Type Operators on Spheres and Real Projective Space [PDF]
, 2001 In this paper we deal with Rarita-Schwinger type operators on spheres and real projective space. First we define the spherical Rarita-Schwinger type operators and construct their fundamental solutions.
Brackx +18 more
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The Willmore Conjecture in the Real Projective Space [PDF]
, 1999 -We prove that for any torus M immersed in the real projective space RP3(1) with mean curvature H, we have that ∫ M (1 +H 2)dA ≥ π2 and that the equality holds only for the minimal Clifford torus.
Antonio R�os
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On the ribbon graphs of links in real projective space [PDF]
Involve, a Journal of Mathematics, 2015 Every link diagram can be represented as a signed ribbon graph. However, different link diagrams can be represented by the same ribbon graphs. We determine how checkerboard colourable diagrams of links in real projective space, and virtual link diagrams,
I. Moffatt, Johanna Stromberg
semanticscholar +6 more sources
A Plücker equation for curves in real projective space [PDF]
, 1982 For smooth closed curves in real projective space we write an equation relating the Plucker characteristics, various winding numbers, and a new characteristic involving pairs of points on the line at infinity.
J. R. Quine
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Spaces of Rational Loops on a Real Projective Space [PDF]
arXiv, 1998 We show that the loop spaces of real projective spaces are topologically approximated by the spaces of rational maps from RP(1) to RP(n). As a byproduct of our constructions we obtain an interpretation of the Kronecker characteristic (degree) of an ornament via particle spaces.
J. Mostovoy
arxiv +3 more sources
On nonimmersion of real projective spaces
Topology and its Applications, 2003 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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Simplicial resolutions and spaces of algebraic maps between real projective spaces [PDF]
arXiv, 2011 We show that the space $\tilde{A}_{d}(m,n)$ consisting of all real projective classes of $(n+1)$-tuples of real coefficients homogeneous polynomials of degree $d$ in $(m+1)$ variables, without common real roots except zero, has the same homology as the space $ \Map(\RP^m,\Bbb \RP^n)$ of continuous maps from the $m$-dimensional real projective space ...
Andrzej Kozłowski, Kohhei Yamaguchi
arxiv +3 more sources
The block structure spaces of real projective spaces and orthogonal calculus of functors [PDF]
, 2006 Given a compact manifold X, the set of simple manifold structures on X x \Delta^k relative to the boundary can be viewed as the k-th homotopy group of a space \S^s (X). This space is called the block structure space of X.
Tibor Macko
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