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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Matching LTB and FRW spacetimes through a null hypersurface [PDF]
, 2007 Matching of a LTB metric representing dust matter to a background FRW universe across a null hypersurface is studied. In general, an unrestricted matching is possible only if the background FRW is flat or open.
C. Barrabès +6 more
core +2 more sources
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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Doubly covariant action principle of singular hypersurfaces in general relativity and scalar-tensor theories [PDF]
, 2001 An action principle of singular hypersurfaces in general relativity and scalar-tensor type theories of gravity in the Einstein frame is presented without assuming any symmetry.
Mukohyama, Shinji
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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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Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory [PDF]
, 2003 We consider Lagrangian submanifolds lying on a fiberwise strictly convex hypersurface in some cotangent bundle or, respectively, in the domain bounded by such a hypersurface.
Paternain, Gabriel P. +2 more
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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
semanticscholar +1 more source
Extension of holomorphic maps between real hypersurfaces of different dimension [PDF]
, 2006 It is proved that the germ of a holomorphic map from a real analytic hypersurface M in C^n into a strictly pseudoconvex compact real algebraic hypersurface M' in C^N, 1 < n < N extends holomorphically along any path on ...
Shafikov, Rasul, Verma, Kaushal
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Extended Object Tracking with Random Hypersurface Models [PDF]
IEEE Transactions on Aerospace and Electronic Systems, 2013 The random hypersurface model (RHM) is introduced for estimating a shape approximation of an extended object in addition to its kinematic state. An RHM represents the spatial extent by means of randomly scaled versions of the shape boundary. In doing so,
M. Baum, U. Hanebeck
semanticscholar +1 more source
The Gauss Map and the Third Laplace-Beltrami Operator of the Rotational Hypersurface in 4-Space
Symmetry, 2018 We study and examine the rotational hypersurface and its Gauss map in Euclidean four-space E 4 . We calculate the Gauss map, the mean curvature and the Gaussian curvature of the rotational hypersurface and obtain some results.
Erhan Güler +2 more
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