Results 11 to 20 of about 226 (26)

Some calibrated surfaces in manifolds with density

, 2010
Hyperplanes, hyperspheres and hypercylinders in $\Bbb R^n$ with suitable densities are proved to be weighted minimizing by a calibration argument. Also calibration method is used to prove a weighted minimal hypersurface is weighted area-minimizing ...
Barbosa, Borell, Cañete, Chavel, Corwin, Doan The Hieu, Gromov, Harvey, Kolesnikov, Lawlor, Lichnerowicz, Maurmann, Morgan, Morgan, Morgan, Morgan, Rosales, Witten   +17 more
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Topological Radon transforms and degree formulas for dual varieties [PDF]

, 2008
First published in Proceedings of the American Mathematical Society in volume136 and number7 2008 published by the American Mathematical Societyjournal ...
Matsui Yutaka, TAKEUCHI Kiyoshi
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Metric connections in projective differential geometry

, 2008
We search for Riemannian metrics whose Levi-Civita connection belongs to a given projective class. Following Sinjukov and Mikes, we show that such metrics correspond precisely to suitably positive solutions of a certain projectively invariant finite-type
A.R. Gover, E. Beltrami, E. Cartan, J. Mikeš, N.S. Sinjukov, T.P. Branson, T.Y. Thomas   +6 more
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Chains in CR geometry as geodesics of a Kropina metric [PDF]

, 2019
With the help of a generalization of the Fermat principle in general relativity, we show that chains in CR geometry are geodesics of a certain Kropina metric constructed from the CR structure.
Cheng, Jih-Hsin, Marugame, Taiji, Matveev, Vladimir S., Montgomery, Richard   +3 more
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Einstein metrics in projective geometry

, 2013
It is well known that pseudo-Riemannian metrics in the projective class of a given torsion free affine connection can be obtained from (and are equivalent to) the solutions of a certain overdetermined projectively invariant differential equation.
A Čap, A Čap, A. R. Gover, A. Čap, AR Gover, DMJ Calderbank, F Leitner, H. R. Macbeth, J Mikes, P Nurowski, R Liouville, S Armstrong, T Branson, TN Bailey, TY Thomas, V Kiosak   +15 more
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Scalar Curvature and Projective Compactness

, 2015
Consider a manifold with boundary, and such that the interior is equipped with a pseudo-Riemannian metric. We prove that, under mild asymptotic non-vanishing conditions on the scalar curvature, if the Levi-Civita connection of the interior does not ...
Cap, Andreas, Gover, A. Rod
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Volume Growth, Number of Ends and the Topology of a Complete Submanifold

, 2012
Given a complete isometric immersion $\phi: P^m \longrightarrow N^n$ in an ambient Riemannian manifold $N^n$ with a pole and with radial sectional curvatures bounded from above by the corresponding radial sectional curvatures of a radially symmetric ...
Gimeno, Vicent, Palmer, Vicente
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Harmonic fields on the extended projective disc and a problem in optics

, 2007
The Hodge equations for 1-forms are studied on Beltrami's projective disc model for hyperbolic space. Ideal points lying beyond projective infinity arise naturally in both the geometric and analytic arguments.
Bateman H., Beltrami E., Bers L., Courant R., Hua L. K., Ji X-H., Ji X-H., Kravtsov Yu. A., Ladyzhenskaya O. A., Magnanini R., Morita S., Nye J. F., Otway T. H., Otway T. H., Stoker J. J., Thomas H. Otway, Tricomi F., Veblen O.   +17 more
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Harmonic maps in unfashionable geometries

, 2001
We describe some general constructions on a real smooth projective 4-quadric which provide analogues of the Willmore functional and conformal Gauss map in both Lie sphere and projective differential geometry.
Burstall, F. E., Hertrich-Jeromin, U.
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On the integrability of symplectic Monge-Amp\'ere equations

, 2010
Let u be a function of n independent variables x^1, ..., x^n, and U=(u_{ij}) the Hessian matrix of u. The symplectic Monge-Ampere equation is defined as a linear relation among all possible minors of U.
Atiyah, B. Doubrov, Ball, Banos, Bogdanov, Bogdanov, Boillat, Calabi, Dunajski, Dunajski, E.V. Ferapontov, Ferapontov, Ferapontov, Ferapontov, Ferapontov, Grant, Husain, Joyce, Katanova, Kushner, Landsberg, Landsberg, Lychagin, Manakov, Mokhov, Neyzi, Plebański, Plebański, Sheftel, Strachan, Takasaki, Takasaki, Tsarev, Tsarev   +33 more
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