Results 71 to 80 of about 1,495,412 (275)
Kahler metric on the space of convex real projective structures on surface [PDF]
, 2013 We prove that the space of convex real projective structures on a surface of genus $g\ge 2$ admits a mapping class group invariant K\"ahler metric where Teichm\"uller space with Weil-Petersson metric is a totally geodesic complex submanifold.
Inkang Kim, Genkai Zhang
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An Abstract Result on Projective Aggregation Functions
Axioms, 2018 A general characterization result of projective aggregation functions is shown, the proof of which makes use of the celebrated Arrow’s theorem, thus providing a link between aggregation functions theory and social choice theory.
Juan C. Candeal
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AppliedMath, 2023 Let X be a smooth projective variety and f:X→Pr a morphism birational onto its image. We define the Terracini loci of the map f. Most results are only for the case dimX=1.
Edoardo Ballico
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Tropicalization of group representations
, 2007 In this paper we give an interpretation to the boundary points of the compactification of the parameter space of convex projective structures on an n-manifold M.
Daniele Alessandrini, Kim
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The BGG Complex on Projective Space
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
Michael G. Eastwood, A. Rod Gover
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Geometry of knots in real projective 3-space
Journal of Knot Theory and Its Ramifications, 2023 This paper discusses some geometric ideas associated with knots in real projective 3-space [Formula: see text]. These ideas are borrowed from classical knot theory. Since knots in [Formula: see text] are classified into three disjoint classes: affine, class-[Formula: see text] non-affine and class-[Formula: see text] knots, it is natural to wonder in ...
Mishra, Rama, Narayanan, Visakh
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CR-hypersurfaces of complex projective space
International Journal of Mathematics and Mathematical Sciences, 1994 We consider compact n-dimensional minimal foliate CR-real submanifolds of a complex projective space. We show that these submanifolds are great circles on a 2-dimensional sphere provided that the square of the length of the second fundamental form is ...
M. A. Bashir
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One-dimensional super Calabi-Yau manifolds and their mirrors
Journal of High Energy Physics, 2017 We apply a definition of generalised super Calabi-Yau variety (SCY) to supermanifolds of complex dimension one. One of our results is that there are two SCY’s having reduced manifold equal to ℙ 1 $$ {\mathrm{\mathbb{P}}}^1 $$ , namely the projective ...
S. Noja +4 more
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Degree of symmetry of a homotopy real projective space
, 1971 The degree of symmetry N(M) of a compact connected differentiable manifold M is the maximum of the dimensions of the compact Lie groups which can act differentiably and effectively on it.
H. Ku, L. Mann, J. Sicks, J. C. Su
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The real projective spaces in homotopy type theory [PDF]
Logic in Computer Science, 2017 Homotopy type theory is a version of Martin-Löf type theory taking advantage of its homotopical models. In particular, we can use and construct objects of homotopy theory and reason about them using higher inductive types.
U. Buchholtz, E. Rijke
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