Results 11 to 20 of about 116,663 (322)

Moduli spaces of lumps on real projective space [PDF]

open access: yesJournal of Mathematical Physics, 2015
Harmonic maps that minimise 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. This has consequences for the behaviour of lumps and their symmetries.
Steffen Krusch, Abera A. Muhamed
openaire   +7 more sources

Totally real submanifolds in a complex projective space [PDF]

open access: goldInternational 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
doaj   +2 more sources

On the Ricci tensor of real hypersurfaces of quaternionic projective space [PDF]

open access: goldInternational 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
doaj   +2 more sources

On nonimmersion of real projective spaces

open access: bronzeTopology 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
openalex   +3 more sources

The homotopy of spaces of maps between real projective spaces [PDF]

open access: bronzeJournal of the Mathematical Society of Japan, 2006
We study the homotopy groups of spaces of continuous maps between real projective spaces and we generalize the results given in [5], [8] and [12]. In particular, we determine the rational homotopy types of these spaces and compute their fundamental groups explicitly.
Kohhei Yamaguchi
openalex   +4 more sources

Quantum Real Projective Space, Disc and Sphere

open access: greenAlgebras and Representation Theory, 2000
We define the $C^*$-algebra of quantum real projective space $\R P_q^2$, classify its irreducible representations and compute its $K$-theory. We also show that the $q$-disc of Klimek-Lesniewski can be obtained as a non-Galois $\Z_2$-quotient of the equator Podle quantum sphere.
Piotr M. Hajac   +2 more
openalex   +5 more sources

On the immersion problem for real projective spaces [PDF]

open access: goldBulletin of the American Mathematical Society, 1963
I. M. James
openalex   +3 more sources

Observation of a Higher‐Order End Topological Insulator in a Real Projective Lattice [PDF]

open access: yesAdvanced Science
The 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
doaj   +2 more sources

The block structure spaces of real projective spaces and orthogonal calculus of functors [PDF]

open access: hybrid, 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
openalex   +3 more sources

Fractal Dimension of Fractal Functions on the Real Projective Plane

open access: yesFractal and Fractional, 2023
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
doaj   +1 more source

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