Results 61 to 70 of about 1,487,218 (229)

Circle actions on a quantum Seifert manifold [PDF]

open access: yesarXiv, 2012
The quotients of a (non-orientable) quantum Seifert manifold by circle actions are described. In this way quantum weighted real projective spaces that include the quantum disc and the quantum real projective space as special cases are obtained. Bounded irreducible representations of the coordinate algebras and the K-groups of the algebras of continuous
arxiv  

Compact minimal hypersurfaces of index one and the width of real projective spaces [PDF]

open access: yesarXiv, 2019
We characterize the first min-max width of real projective spaces of any dimension. The width is the minimum area over the Clifford hypersurfaces. We also compute the Morse index of the Clifford hypersurfaces in the complex and quaternionic projective spaces.
arxiv  

Topological Conjugacy of Real Projective Flows [PDF]

open access: yes, 2013
In this paper we prove the following topological classification result for flows on real projective space induced by linear flows on Euclidean space: Two flows on the projective space P(V) of a finite-dimensional real vector space V, induced by endomorphisms A and B of V, are topologically conjugate if and only if the Jordan structures of A and B ...
arxiv   +1 more source

Real aspects of the moduli space of genus zero stable maps

open access: yes, 2007
We show that the moduli space of genus zero stable maps is a real projective variety if the target space is a smooth convex real projective variety. We show that evaluation maps, forgetful maps are real morphisms.
Kwon, Seongchun
core   +1 more source

An embedding theorem for real projective spaces

open access: yesTopology, 1968
LET X be a topological space and iJ the diagonal in X x X. A map f: X x X A -+ S”-’ is called equivariant iff(x, y) = -f(y, x ) f or all (x, y) E X x X A. Any topological embedding F: X + R” gives rise to an equivariant map, namely define F(x) F(Y) Rx9 y, = 11 F(x) F(y) 11.
openaire   +2 more sources

Convexity properties and complete hyperbolicity of Lempert's elliptic tubes

open access: yes, 2010
We prove that elliptic tubes over properly convex domains of the real projective space are C-convex and complete Kobayashi-hyperbolic. We also study a natural construction of complexification of convex real projective manifolds.Comment: 11 ...
Alessandrini, Daniele, Saracco, Alberto
core  

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

open access: yesTransactions of the American Mathematical Society, Volume 359, Number 1, January 2007, pages 349-383, 2004
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. We study the block structure spaces of real projective spaces.
arxiv  

Circle actions on a quantum Seifert manifold

open access: yes, 2011
The quotients of a (non-orientable) quantum Seifert manifold by circle actions are described. In this way quantum weighted real projective spaces that include the quantum disc and the quantum real projective space as special cases are obtained.
Brzeziński, Tomasz
core  

Real hypersurfaces of complex projective spaces

open access: yesMathematische Annalen, 1983
Let P"(~) denote the complex projective space with Fubini-Study metric of constant holomorphic sectional curvature 4 and suppose m >2. It is well-known that there does not exist a totally umbilical real hypersurface M of P"(C) (see Tashiro and Tachibana [7]).
openaire   +2 more sources

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