Results 11 to 20 of about 323 (33)

On the cohomology of some exceptional symmetric spaces

, 2016
This is a survey on the construction of a canonical or "octonionic K\"ahler" 8-form, representing one of the generators of the cohomology of the four Cayley-Rosenfeld projective planes.
A. Borel, A. Borel, A. Moroianu, C.R. LeBrun, F.L. Zak, H. Toda, K. Galicki, K. Ishitoya, K. Ishitoya, K. Ishitoya, L. Ornea, M. Berger, M. Castrillón López, M. Castrillón López, M. Nakagawa, M. Parton, M. Parton, S. Araki, S.M. Salamon, T. Friedrich, T. Watanabe   +20 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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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, Blair, Blair, Blair, Boyer, Gallot, Olszak, Sekigawa, Thomas   +8 more
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3-quasi-Sasakian manifolds

, 2007
In the present paper we carry on a systematic study of 3-quasi-Sasakian manifolds. In particular we prove that the three Reeb vector fields generate an involutive distribution determining a canonical totally geodesic and Riemannian foliation.
A.R. Rustanov, Antonio De Nicola, B. Cappelletti Montano, Beniamino Cappelletti Montano, C. Călin, C. Udriste, C.P. Boyer, D.E. Blair, D.E. Blair, D.E. Blair, D.E. Blair, Giulia Dileo, J.C. Gonzales, K. Yano, N.J. Hitchin, P.M. Chacón, P.M. Chacón, S. Kanemaki, S. Sasaki, S. Tanno, T. Friedrich, T. Kashiwada, V.F. Kirichenko, Y.Y. Kuo, Y.Y. Kuo, Z. Olszak   +25 more
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A connection with parallel totally skew-symmetric torsion on a class of almost hypercomplex manifolds with Hermitian and anti-Hermitian metrics

, 2010
The subject of investigations are the almost hypercomplex manifolds with Hermitian and anti-Hermitian (Norden) metrics. A linear connection D is introduced such that the structure of these manifolds is parallel with respect to D and its torsion is ...
Alekseevsky D. V., Boyer C. P., Ganchev G., Ganchev G., Gaudochon P., Gray A., Gray A., Kirichenko V. F., KOSTADIN GRIBACHEV, MANCHO MANEV, Manev M., Mekerov D., Mekerov D., Mekerov D., Michelson J.   +14 more
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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
core  

On paraquaternionic submersions between paraquaternionic K\"ahler manifolds

, 2008
In this paper we deal with some properties of a class of semi-Riemannian submersions between manifolds endowed with paraquaternionic structures, proving a result of non-existence of paraquaternionic submersions between paraquaternionic K\"ahler non ...
A. Andrada, A. Andrada, A. Andrada, A. Andrada, A. Bejancu, A. Besse, A. Gray, Angelo V. Caldarella, B. O’Neill, B. O’Neill, C. Omero, C.M. Hull, D.V. Alekseevsky, D.V. Alekseevsky, D.V. Alekseevsky, D.V. Alekseevsky, E. García-Rio, E. García-Rio, F. Etayo, F. Etayo, H. Kamada, H. Ooguri, J. Baird, J. Eells, K. Yano, K. Yano, K. Yano, M. Davidse, M. Dunajski, M. Falcitelli, M. Gell-Mann, N. Blažić, N. Hitchin, O. Klein, O. Kowalski, P. Dombrowski, P. Libermann, S. Ianuş, S. Ianuş, S. Ianuş, S. Ianuş, S. Ianuş, S. Ianuş, S. Ivanov, S. Ivanov, S. Marchiafava, T. Kaluza, U. Theis, U. Theis, V. Cortés, V. Cortés, V. Cruceanu   +51 more
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Double products and hypersymplectic structures on $R^{4n}$

, 2004
In this paper we give a procedure to construct hypersymplectic structures on $R^{4n}$ beginning with affine-symplectic data on $R^{2n}$. These structures are shown to be invariant by a 3-step nilpotent double Lie group and the resulting metrics are ...
Andrada, Adrian, Dotti, Isabel
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Polygons in Minkowski three space and parabolic Higgs bundles of rank two on CP^1

, 2012
Consider the moduli space of parabolic Higgs bundles (E,\Phi) of rank two on CP^1 such that the underlying holomorphic vector bundle for the parabolic vector bundle E is trivial.
Biswas, Indranil, Florentino, Carlos, Godinho, Leonor, Mandini, Alessia   +3 more
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