Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Calderbank, David M. J."'
Autor:
Calderbank, David M. J.
This paper develops a geometric approach to the theory of integrability by hydrodynamic reductions to establish an equivalence, for a large class of quasilinear systems, between hydrodynamic integrability and the existence of nets compatible with the
Externí odkaz:
http://arxiv.org/abs/2109.02727
We use the correspondence between extremal Sasaki structures and weighted extremal Kahler metrics defined on a regular quotient of a Sasaki manifold, established by the first two authors, and Lahdili's theory of weighted K-stability in order to defin
Externí odkaz:
http://arxiv.org/abs/2012.08628
We establish an equivalence between conformally Einstein--Maxwell Kahler 4-manifolds (recently studied in many works) and extremal Kahler 4-manifolds (in the sense of Calabi) with nowhere vanishing scalar curvature. The corresponding pairs of Kahler
Externí odkaz:
http://arxiv.org/abs/1810.10618
We present the linearized metrizability problem in the context of parabolic geometries and subriemannian geometry, generalizing the metrizability problem in projective geometry studied by R. Liouville in 1889. We give a general method for linearizabi
Externí odkaz:
http://arxiv.org/abs/1803.10482
Publikováno v:
Advances in Mathematics 350 (2019) 1-62
We study the K\"ahler geometry of stage n Bott manifolds, which can be viewed as $n$-dimensional generalizations of Hirzebruch surfaces. We show, using a simple induction argument and the generalized Calabi construction from [ACGT04,ACGT11], that any
Externí odkaz:
http://arxiv.org/abs/1801.09641
We study CR geometry in arbitrary codimension, and introduce a process, which we call the Levi-Kahler quotient, for constructing Kahler metrics from CR structures with a transverse torus action. Most of the paper is devoted to the study of Levi-Kahle
Externí odkaz:
http://arxiv.org/abs/1708.05253
Publikováno v:
Internat. Math. Res. Notices 2020 (2020), 2436-2467
We define toric contact manifolds in arbitrary codimension and give a description of such manifolds in terms of a kind of labelled polytope embedded into a grassmannian, analogous to the Delzant polytope of a toric symplectic manifold.
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Externí odkaz:
http://arxiv.org/abs/1708.04942
We prove that the existence of a dispersionless Lax pair with spectral parameter for a nondegenerate hyperbolic second order partial differential equation (PDE) is equivalent to the canonical conformal structure defined by the symbol being Einstein-W
Externí odkaz:
http://arxiv.org/abs/1612.02753
Reductive (or semisimple) algebraic groups, Lie groups and Lie algebras have a rich geometry determined by their parabolic subgroups and subalgebras, which carry the structure of a building in the sense of J. Tits. We present herein an elementary app
Externí odkaz:
http://arxiv.org/abs/1607.00370
Publikováno v:
Trans. Amer. Math. Soc. 372 (2019), 4729-4760
Starting from a complex manifold S with a real-analytic c-projective structure whose curvature has type (1,1), and a complex line bundle L with a connection whose curvature has type (1,1), we construct the twistor space Z of a quaternionic manifold M
Externí odkaz:
http://arxiv.org/abs/1512.07625