Results 21 to 30 of about 42,946 (260)
Hypersurface-deformation algebroids and effective spacetime models [PDF]
, 2016 In canonical gravity, covariance is implemented by brackets of hypersurface-deformation generators forming a Lie algebroid. Lie-algebroid morphisms, therefore, allow one to relate different versions of the brackets that correspond to the same spacetime ...
M. Bojowald +3 more
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Proceedings of the Steklov Institute of Mathematics, 2006 We exhibit a family of homogeneous hypersurfaces in affine space, one in each dimension, generalising the Cayley surface.
Eastwood, Michael, Ezhov, V
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Hypersurfaces of cohomogeneity one and hypersurfaces of revolution
Differential Geometry and its Applications, 2004 A Riemannian manifold \(M\) equipped with a Lie group \(G\) of isometries has cohomogeneity \(1\) whenever the principal \(G\)-orbits are of codimension \(1\). Here, the authors deal with such complete cohomogeneity-\(1\) hypersurfaces \(M\) in \(\mathbb R^{n+1}\), \(n\geq 3\), which are unflat at infinity. He proves the following results: (1) If \(G\)
Mercuri, Francesco +1 more
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On the rationality of generating functions of certain hypersurfaces over finite fields
AIMS Mathematics, 2023 Let $ a, n $ be positive integers and let $ p $ be a prime number. Let $ \mathbb F_q $ be the finite field with $ q = p^a $ elements. Let $ \{a_i\}_{i = 1}^\infty $ be an arbitrary given infinite sequence of elements in $ \mathbb F_q $ and $ a_1\neq 0 $.
Lin Han, Guangyan Zhu, Zongbing Lin
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Conformal hypersurface geometry via a boundary Loewner–Nirenberg–Yamabe problem [PDF]
Communications in analysis and geometry, 2015 We develop a new approach to the conformal geometry of embedded hypersurfaces by treating them as conformal infinities of conformally compact manifolds. This involves the Loewner--Nirenberg-type problem of finding on the interior a metric that is both
A. Gover, A. Waldron
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Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian
Advances in Mathematics, 2008 56 pages. v2: Some material added in section 1; minor changes.
CILIBERTO C, RUSSO, Francesco, SIMIS, A.
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Homological mirror symmetry for hypersurface cusp singularities [PDF]
Selecta Mathematica, 2015 We study versions of homological mirror symmetry for hypersurface cusp singularities and the three hypersurface simple elliptic singularities. We show that the Milnor fibres of each of these carries a distinguished Lefschetz fibration; its derived ...
Ailsa Keating
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Determinantal hypersurfaces. [PDF]
Michigan Mathematical Journal, 2000 29 pages, Plain TeX, with a new Appendix by F.-O ...
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Holomorphic Curves into Algebraic Varieties Intersecting Moving Hypersurface Targets [PDF]
Acta Mathematica Vietnamica, 2015 In Ru (Ann. Math. 169 , 255–267 2009 ), Min Ru proved a second main theorem for algebraically nondegenerate holomorphic curves in complex projective varieties intersecting fixed hypersurface targets.
G. Dethloff, T. Tan
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Min-max hypersurface in manifold of positive Ricci curvature [PDF]
, 2015 In this paper, we study the shape of the min-max minimal hypersurface produced by Almgren-Pitts-Schoen-Simon \cite{AF62, AF65, P81, SS81} in a Riemannian manifold $(M^{n+1}, g)$ of positive Ricci curvature for all dimensions. The min-max hypersurface has
Xin Zhou
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