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Holomorphic Parabolic Geometries and Calabi-Yau Manifolds [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We prove that the only complex parabolic geometries on Calabi-Yau manifolds are the homogeneous geometries on complex tori. We also classify the complex parabolic geometries on homogeneous compact Kähler manifolds.
Benjamin McKay
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Pseudoconvex domains spread over complex homogeneous manifolds [PDF]
Manuscripta Mathematica, 2012 Using the concept of inner integral curves defined by Hirschowitz we generalize a recent result by Kim, Levenberg and Yamaguchi concerning the obstruction of a pseudoconvex domain spread over a complex homogeneous manifold to be Stein. This is then applied to study the holomorphic reduction of pseudoconvex complex homogeneous manifolds X=G/H. Under the
Gilligan, Bruce +2 more
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Dolbeault cohomology of compact complex homogeneous manifolds
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 1999 If a complex transformation group \(G\) acts on a complex manifold \(M\), there is an induced action of \(G\) on the Dolbeault cohomology of \(M\). This action must be trivial if \(M\) is compact Kähler, but may be non-trivial in general (as was shown by examples of Kodaira and Lescure).
Parameswaran Sankaran
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ON CERTAIN HOMOGENEOUS COMPLEX MANIFOLDS [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1962 Phillip A Griffiths
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HOMOGENEOUS COMPLEX MANIFOLDS AND REPRESENTATIONS OF SEMISIMPLE LIE GROUPS [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1968 Wilfried Schmid
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SOME RESULTS ON LOCALLY HOMOGENEOUS COMPLEX MANIFOLDS [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1966 exaly +3 more sources
How dynamics constrains probabilities in general probabilistic theories [PDF]
Quantum, 2021 We introduce a general framework for analysing general probabilistic theories, which emphasises the distinction between the dynamical and probabilistic structures of a system.
Thomas D. Galley, Lluis Masanes
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Dynamics of solutions of nonlinear functional differential equation of parabolic type [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2022 Purpose of this work is to study the initial-boundary value problem for a parabolic functional-differential equation in an annular region, which describes the dynamics of phase modulation of a light wave passing through a thin layer of a nonlinear Kerr ...
Kornuta, Anshelika Alexandrovna +1 more
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Local dynamics of laser chain model with optoelectronic delayed unidirectional coupling [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2022 Purpose. The local dynamics of the laser chain model with optoelectronic delayed unidirectional coupling is investigated. A system of equations is considered that describes the dynamics of a closed chain of a large number of lasers with optoelectronic ...
Grigorieva, Elena Viktorovna +1 more
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Geodesic complexity of homogeneous Riemannian manifolds
Algebraic & Geometric Topology, 2023 We study the geodesic motion planning problem for complete Riemannian manifolds and investigate their geodesic complexity, an integer-valued isometry invariant introduced by D Recio-Mitter. Using methods from Riemannian geometry, we establish new lower and upper bounds on geodesic complexity and compute its value for certain classes of examples with a ...
Mescher, Stephan, Stegemeyer, Maximilian
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