Results 21 to 30 of about 308 (43)

On quaternionic functions [PDF]

, 2013
Several sets of quaternionic functions are described and studied.
Dolbeault, Pierre
core   +2 more sources

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
core   +6 more sources

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
core   +1 more source

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  

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
core   +1 more source

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
core   +7 more sources

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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Special almost Hermitian geometry

, 2005
We study the classification of special almost hermitian manifolds in Gray and Hervella's type classes. We prove that the exterior derivatives of the symplectic form and the complex volume form contain all the information about the intrinsic torsion of ...
Berger, Bröcker, Chiossi, Cleyton, Falcitelli, Francisco Martín Cabrera, Gray, Gray, Gray, Hitchin, Martín Cabrera, Martín Cabrera, Salamon, Swann   +13 more
core   +1 more source

Non-Berwaldian Randers metrics of Douglas type on four-dimensional hypercomplex Lie groups

, 2017
In this paper we classify all non-Berwaldian Randers metrics of Douglas type arising from invariant hyper-Hermitian metrics on simply connected four-dimensional real Lie groups.
Hosseini, M., Moghaddam, H. R. Salimi
core  

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
core   +1 more source