Results 11 to 20 of about 311 (38)
Hyper-symplectic structures on integrable systems
, 2003 We prove that an integrable system over a symplectic manifold, whose symplectic form is covariantly constant w.r.t. the Gauss-Manin connection, carries a natural hyper-symplectic structure.
Bartocci, C., Mencattini, I.
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The even Clifford structure of the fourth Severi variety
Complex Manifolds, 2015 TheHermitian symmetric spaceM = EIII appears in the classification of complete simply connected Riemannian manifolds carrying a parallel even Clifford structure [19].
Parton Maurizio, Piccinni Paolo
doaj +1 more source
Holonomy groups of pseudo-quaternionic-K\"ahlerian manifolds of non-zero scalar curvature
, 2010 The holonomy group $G$ of a pseudo-quaternionic-K\"ahlerian manifold of signature $(4r,4s)$ with non-zero scalar curvature is contained in $\Sp(1)\cdot\Sp(r,s)$ and it contains $\Sp(1)$.
A. Swann +6 more
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The odd-dimensional Goldberg Conjecture
, 2003 An odd-dimensional version of the Goldberg conjecture was formulated and proved by Boyer and Galicki, using an orbifold analogue of Sekigawa's formulas, and an approximation argument of K-contact structures with quasi-regular ones.
Apostolov +8 more
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The second Betti number of hyperk\"ahler manifolds [PDF]
, 2015 Let $M$ be a compact irreducible hyperkahler manifold, from Bogomolov inequality [V1] we obtain forbidden values of the second Betti number $b_2$ in arbitrary dimension.
Kurnosov, Nikon
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Parallelizations on products of spheres and octonionic geometry
Complex Manifolds, 2019 A classical theoremof Kervaire states that products of spheres are parallelizable if and only if at least one of the factors has odd dimension. Two explicit parallelizations on Sm × S2h−1 seem to be quite natural, and have been previously studied by the ...
Parton Maurizio, Piccinni Paolo
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A Nearly Quaternionic Structure on SU(3)
, 2009 It is shown that the compact Lie group SU(3) admits an Sp(2)Sp(1)-structure whose distinguished 2-forms $\omega_1,\omega_2,\omega_3$ span a differential ideal. This is achieved by first reducing the structure further to a subgroup isomorphic to SO(3)
Besse +15 more
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Collections of parabolic orbits in homogeneous spaces, homogeneous dynamics and hyperkahler geometry
, 2016 Let $M$ be a hyperk\"ahler manifold with $b_2(M)\geq 5$. We improve our earlier results on the Morrison-Kawamata cone conjecture by showing that the Beauville-Bogomolov square of the primitive MBM classes (i.e.
Amerik, Ekaterina, Verbitsky, Misha
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On quaternionic functions [PDF]
, 2013 Several sets of quaternionic functions are described and studied.
Dolbeault, Pierre
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Almost h-semi-slant Riemannian maps [PDF]
, 2012 As a generalization of slant Riemannian maps (Sahin), semi-slant Riemannian maps (Park), almost h-slant submersions (Park 2012), and almost h-semi-slant submersions (Park 2011), we introduce the notion of almost h-semi-slant Riemannian maps from almost ...
Park, Kwang-Soon
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