Totally real submanifolds in a complex projective space [PDF]
International Journal of Mathematics and Mathematical Sciences, 1999 In this paper, we establish the following result: Let M be an n-dimensional complete totally real minimal submanifold immersed in CPn with Ricci curvature bounded from below.
Liu Ximin
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On the Ricci tensor of real hypersurfaces of quaternionic projective space [PDF]
International Journal of Mathematics and Mathematical Sciences, 1996 We study some conditions on the Ricci tensor of real hypersurfaces of quaternionic projective space obtaining among other results an improvement of the main theorem in [9].
Juan De Dios Perez
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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
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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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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
Angle-resolved photoelectron spectroscopy in a low-energy electron microscope [PDF]
Structural Dynamics, 2023 Spectroscopic photoemission microscopy is a well-established method to investigate the electronic structure of surfaces. In modern photoemission microscopes, the electron optics allow imaging of the image plane, momentum plane, or dispersive plane ...
Alexander Neuhaus +5 more
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Real projective space as a space of planar polygons [PDF]
arXiv, 2015 We prove that real projective space RP^{n-3} is homeomorphic to the space of all isometry classes of n-gons in the plane with one side of length n-2 and all other sides of length 1. This makes the topological complexity of real projective space more relevant to robotics.
arxiv +3 more sources
Observation of a Higher‐Order End Topological Insulator in a Real Projective Lattice [PDF]
Advanced ScienceThe modern theory of quantized polarization has recently extended from 1D dipole moment to multipole moment, leading to the development from conventional topological insulators (TIs) to higher‐order TIs, i.e., from the bulk polarization as primary ...
Ce Shang +9 more
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On the immersion problem for real projective spaces [PDF]
Bulletin of the American Mathematical Society, 1963 I. M. James
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Spaces of algebraic maps from real projective spaces into complex projective spaces [PDF]
arXiv, 2008 We study the homotopy types of spaces of algebraic (rational) maps from real projective spaces into complex projective spaces. In a previous paper we have shown that the inclusion of the first space into the second one is a homotopy equivalence. In this paper we prove that the homotopy types of the terms of the natural "degree" filtration approximate ...
Kozlowski, Andrzej, Yamaguchi, Kohhei
arxiv +3 more sources