Results 1 to 10 of about 601 (55)
A systolic inequality with remainder in the real projective plane
Open Mathematics, 2020 The first paper in systolic geometry was published by Loewner’s student P. M. Pu over half a century ago. Pu proved an inequality relating the systole and the area of an arbitrary metric in the real projective plane.
Katz Mikhail G., Nowik Tahl
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Existence Results for the Conformal Dirac–Einstein System
Advanced Nonlinear Studies, 2021 We consider the coupled system given by the first variation of the conformal Dirac–Einstein functional. We will show existence of solutions by means of perturbation methods.
Guidi Chiara +2 more
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Geometry of some twistor spaces of algebraic dimension one
Complex Manifolds, 2015 It is shown that there exists a twistor space on the n-fold connected sum of complex projective planes nCP2, whose algebraic dimension is one and whose general fiber of the algebraic reduction is birational to an elliptic ruled surface or a K3 surface ...
Honda Nobuhiro
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A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary) [PDF]
, 2008 This is the original manuscript dated March 9th 1983, typeset by the Editors for the Proceedings of the Midwest Geometry Conference 2007 held in memory of Thomas Branson.
Paneitz, Stephen M.
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A mixed volume from the anisotropic Riesz‐potential
Transactions of the London Mathematical Society, Volume 5, Issue 1, Page 71-96, December 2018., 2018 Abstract As a geometrical understanding of the maximal gravitational potential in computational and mathematical physics, this paper investigates a mixed volume induced by the so‐called anisotropic Riesz‐potential and establishes a reverse Minkowski‐type inequality.
Shaoxiong Hou, Jie Xiao, Deping Ye
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Advances in Mathematical Physics, Volume 2017, Issue 1, 2017., 2017 This paper gives an introduction to certain classical physical theories described in the context of locally Minkowskian causal structures (LMCSs). For simplicity of exposition we consider LMCSs which have locally Euclidean topology (i.e., are manifolds) and hence are Möbius structures.
John Mashford, Özlem Yeşiltaş
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Locally conformally Kähler structures on four-dimensional solvable Lie algebras
Complex Manifolds, 2019 We classify and investigate locally conformally Kähler structures on four-dimensional solvable Lie algebras up to linear equivalence. As an application we can produce many examples in higher dimension, here including lcK structures on Oeljeklaus-Toma ...
Angella Daniele, Origlia Marcos
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Translation to Bundle Operators [PDF]
, 2007 We give explicit formulas for conformally invariant operators with leading term an $m$-th power of Laplacian on the product of spheres with the natural pseudo-Riemannian product metric for all $m$.Comment: This is a contribution to the Proceedings of the
Branson, Thomas P., Hong, Doojin
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Conformal Metrics with Constant Q-Curvature [PDF]
, 2007 We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant $Q$-curvature. The problem is variational, and solutions are in general found as critical points of saddle type.
Malchiodi, Andrea
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SUFFICIENT CONDITIONS FOR THE EXISTENCE OF LIMITING CARLEMAN WEIGHTS
Forum of Mathematics, Sigma, 2017 In Angulo-Ardoy et al. [Anal. PDE, 9(3) (2016), 575–596], we found some necessary conditions for a Riemannian manifold to admit a local limiting Carleman weight (LCW), based on the Cotton–York tensor in dimension 3 and the Weyl tensor in dimension 4.
PABLO ANGULO-ARDOY +2 more
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