Results 21 to 30 of about 311 (38)

The geometry of recursion operators

, 2007
We study the fields of endomorphisms intertwining pairs of symplectic structures. Using these endomorphisms we prove an analogue of Moser's theorem for simultaneous isotopies of two families of symplectic forms.
A. Andrada, A. Fino, A.S. Dancer, C. Benson, C.M. Hull, C.T.C. Wall, D. Guan, D. Kotschick, D. Kotschick, F.A. Bogomolov, F.J. Turiel, G. Bande, G. Bande, G. Bande, H. Geiges, I.G. Dotti, J. Barrett, J. Moser, M.F. Atiyah, N.J. Hitchin, S.K. Donaldson, W. Barth   +21 more
core   +3 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

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

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
core   +1 more source

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

Hyperk\"ahler torsion structures invariant by nilpotent Lie groups

, 2001
We study HKT structures on nilpotent Lie groups and on associated nilmanifolds. We exhibit three weak HKT structures on $\R^8$ which are homogeneous with respect to extensions of Heisenberg type Lie groups.
Anna Fino, Barberis M L, Berndt J, Bismut J M, Dotti I, Dotti I, Gates S J, Gauduchon P, Gray A, Hasegawa K, Howe P S, Isabel G Dotti, Ivanov S, Kaplan A, Mal'cev A, Michelson J, Milnor J, Papadopoulos G, Papadopoulos G, Poon Y S, Wilson E   +20 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  

Deformation Finiteness for Real Hyperkahler Manifolds

, 2006
We show that the number of equivariant deformation classes of real structures in a given deformation class of compact hyperkahler manifolds is finite.Comment: 6 ...
Degtyarev, Alex, Itenberg, Ilia, Kharlamov, Viatcheslav   +2 more
core   +1 more source

Hermitian-Yang-Mills Connections on Collapsing Elliptically Fibered K3 Surfaces. [PDF]

J Geom Anal, 2022
Datar V, Jacob A.
europepmc   +1 more source

Clifford systems in octonionic geometry

, 2016
We give an inductive construction for irreducible Clifford systems on Euclidean vector spaces. We then discuss how this notion can be adapted to Riemannian manifolds, and outline some developments in octonionic geometry.Comment: Added the new Paragraph 3.
Parton, Maurizio, Piccinni, Paolo, Vuletescu, Victor   +2 more
core