Results 11 to 20 of about 84,048 (226)
In this article we generalize some classical formulas for curvatures of hypersurfaces in the n-dimensional Euclidean space using the homogeneous formulas.
Kazimieras Navickis
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On the automorphisms of hypersurfaces [PDF]
H. Matsumura, Paul Monsky
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AbstractThe following theorem, which includes as very special cases results of Jouanolou and Hrushovski on algebraic $D$-varieties on the one hand, and of Cantat on rational dynamics on the other, is established: Working over a field of characteristic zero, suppose $\unicode[STIX]{x1D719}_{1},\unicode[STIX]{x1D719}_{2}:Z\rightarrow X$ are dominant ...
Jason Bell, Rahim Moosa, Adam Topaz
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Determinantal hypersurfaces. [PDF]
29 pages, Plain TeX, with a new Appendix by F.-O ...
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Irreducibility of Hypersurfaces [PDF]
Given a polynomial P in several variables over an algebraically closed field, we show that except in some special cases that we fully describe, if one coefficient is allowed to vary, then the polynomial is irreducible for all but at most deg(P)^2-1 values of the coefficient.
Arnaud Bodin, Pierre Dèbes, Salah Najib
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Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian
56 pages. v2: Some material added in section 1; minor changes.
CILIBERTO C, RUSSO, Francesco, SIMIS, A.
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Doubly covariant action principle of singular hypersurfaces in general relativity and scalar-tensor theories [PDF]
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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Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory [PDF]
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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Hypersurfaces of cohomogeneity one and hypersurfaces of revolution
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 \(G\)
Jose Adonai Pereira Seixas+1 more
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