Results 1 to 10 of about 17,232 (103)
Real analytic manifolds in
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2009 We will classify n-dimensional real submanifolds in ℂ n which have a set of parabolic complex tangents of real dimension n-1. All such submanifolds are equivalent under formal biholomorphisms. We will show that the equivalence classes under convergent local biholomorphisms form a moduli space of infinite dimension.
Ahern, Patrick, Gong, Xianghong
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The Hodge conjecture: The complications of understanding the shape of geometric spaces
Mètode Science Studies Journal: Annual Review, 2018 The Hodge conjecture is one of the seven millennium problems, and is framed within differential geometry and algebraic geometry. It was proposed by William Hodge in 1950 and is currently a stimulus for the development of several theories based on ...
Vicente Muñoz Velázquez
doaj +1 more source
Contact Calabi-Yau manifolds and Special Legendrian submanifolds [PDF]
, 2007 We consider a generalization of Calabi-Yau structures in the context of $\alpha$-Sasakian manifolds. We study deformations of a special class of Legendrian submanifolds and classify invariant contact Calabi-Yau structures on 5-dimensional nilmanifolds ...
Tomassini, Adriano, Vezzoni, Luigi
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Some examples of special Lagrangian tori
, 1999 I point out some very elementary examples of special Lagrangian tori in certain Calabi-Yau manifolds that occur as hypersurfaces in complex projective space. All of these are constructed as real slices of smooth hypersurfaces defined over the reals. This
Bryant, Robert L.
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, 2009 We first review the notion of a $G_2$-manifold, defined in terms of a principal $G_2$ ("gauge") bundle over a $7$-dimensional manifold, before discussing their relation to supergravity. In a second thread, we focus on associative submanifolds and present
Frederik Witt +4 more
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CR singular images of generic submanifolds under holomorphic maps
, 2012 The purpose of this paper is to organize some results on the local geometry of CR singular real-analytic manifolds that are images of CR manifolds via a CR map that is a diffeomorphism onto its image.
Lebl, Jiri +4 more
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, 2005 We construct a gauge fixed action for topological membranes on $G_2$-manifold such that its bosonic part is the standard membrane theory in a particular gauge.
Bonelli, Giulio +2 more
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"Universal" inequalities for the eigenvalues of the biharmonic operator [PDF]
, 2009 In this paper, we establish universal inequalities for eigenvalues of the clamped plate problem on compact submanifolds of Euclidean spaces, of spheres and of real, complex and quaternionic projective spaces.
Ilias, Said, Makhoul, Ola
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Ruled CR-submanifolds of locally conformal K\"{a}hler manifolds
, 2012 The purpose of this paper is to study the canonical totally real foliations of CR-submanifolds in a locally conformal K\"{a}hler manifold.Comment: 10 pages, Journal of Geometry and Physics (to ...
Barletta +25 more
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Geometric spectra and commensurability
, 2013 The work of Reid, Chinburg--Hamilton--Long--Reid, Prasad--Rapinchuk, and the author with Reid have demonstrated that geodesics or totally geodesic submanifolds can sometimes be used to determine the commensurability class of an arithmetic manifold.
McReynolds, D. B.
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