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742
Hermitian structures on Hermitian symmetric spaces
 J. Geom. and Physics
, 1993
"... Abstract. We show that an inner symmetric space with a compatible Hermitian structure is necessarily Hermitian symmetric, and the Hermitian structure must be invariant. This last result was known for some of the spaces of classical type and conjectured to be true for all compact Hermitian symmetric ..."
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Cited by 6 (1 self)
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Abstract. We show that an inner symmetric space with a compatible Hermitian structure is necessarily Hermitian symmetric, and the Hermitian structure must be invariant. This last result was known for some of the spaces of classical type and conjectured to be true for all compact Hermitian symmetric
GEODESICS ON SPACES OF ALMOST HERMITIAN STRUCTURES
 ISRAEL JOURNAL OF MATHEMATICS 88 (1994), 319–332
, 1994
"... A natural metric on the space of all almost hermitian structures on a given manifold is investigated. ..."
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Cited by 2 (2 self)
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A natural metric on the space of all almost hermitian structures on a given manifold is investigated.
Almost Hermitian structures and quaternionic geometries
 Differ. Geom. Appl
"... Gray & Hervella gave a classification of almost Hermitian structures (g,I) into 16 classes. We systematically study the interaction between these classes when one has an almost hyperHermitian structure (g,I,J,K). In general dimension we find at most 167 different almost hyperHermitian structur ..."
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Cited by 9 (1 self)
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Gray & Hervella gave a classification of almost Hermitian structures (g,I) into 16 classes. We systematically study the interaction between these classes when one has an almost hyperHermitian structure (g,I,J,K). In general dimension we find at most 167 different almost hyperHermitian
Hermitian and quaternionic Hermitian structures on tangent bundles
, 2008
"... We review the theory of quaternionic Kähler and hyperkähler structures. Then we consider the tangent bundle of a Riemannian manifold M with a metric connection D (with torsion) and with its well estabilished canonical complex structure. With an extra almost Hermitian structure on M it is possible to ..."
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Cited by 2 (1 self)
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We review the theory of quaternionic Kähler and hyperkähler structures. Then we consider the tangent bundle of a Riemannian manifold M with a metric connection D (with torsion) and with its well estabilished canonical complex structure. With an extra almost Hermitian structure on M it is possible
On Multiplier Hermitian Structures on Compact Kähler Manifolds
, 704
"... In [9], Mabuchi introduced the notion of a multiplier Hermitian structure on Kähler manifolds and a generalization of the notions of KählerEinstein metric and KählerRicci soliton. ..."
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In [9], Mabuchi introduced the notion of a multiplier Hermitian structure on Kähler manifolds and a generalization of the notions of KählerEinstein metric and KählerRicci soliton.
Almost Hermitian structures with parallel torsion, to appear
 ILKA AGRICOLA, THOMAS FRIEDRICH, AND MARIO KASSUBA
"... Abstract. The characteristic connection of an almost hermitian structure is a hermitian connection with totally skewsymmetric torsion. The case of parallel torsion in dimension six is of particular interest. In this work, we give a full classification of the algebraic types of the torsion form, and ..."
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Cited by 13 (0 self)
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Abstract. The characteristic connection of an almost hermitian structure is a hermitian connection with totally skewsymmetric torsion. The case of parallel torsion in dimension six is of particular interest. In this work, we give a full classification of the algebraic types of the torsion form
Hermitian Structures in Braided Premonoidal Categories
, 2004
"... Lie group symmetries are well known to play a role in the physics of quantum systems. The representation theory of Lie groups can be conveniently expressed in the framework of category theory. Category theory also extends to incorparate particle statistics, which in turn allows for an investigation ..."
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of exclusion and confinement principles through the action of the symmetric groups. We go on to investigate the hermitian structure over a symmetric premonoidal category of representations over a Lie group. We will examine this general approach in terms of categorical traces and hermitian forms.
Quantum BiHamiltonian systems, alternative Hermitian structures and BiUnitary transformations
, 2008
"... We discuss the dynamical quantum systems which turn out to be biunitary with respect to the same alternative Hermitian structures in a infinitedimensional complex Hilbert space. We give a necessary and sufficient condition so that the Hermitian structures are in generic position. Finally the transf ..."
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Cited by 3 (2 self)
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We discuss the dynamical quantum systems which turn out to be biunitary with respect to the same alternative Hermitian structures in a infinitedimensional complex Hilbert space. We give a necessary and sufficient condition so that the Hermitian structures are in generic position. Finally
KillingYano tensors and multihermitian structures
, 2008
"... We show that the Euclidean KerrNUT(A)dS metric in 2m dimensions locally admits 2 m hermitian complex structures. These are derived from the existence of a nondegenerate closed conformal KillingYano tensor with distinct eigenvalues. More generally, a conformal KillingYano tensor, provided its ex ..."
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Cited by 11 (3 self)
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We show that the Euclidean KerrNUT(A)dS metric in 2m dimensions locally admits 2 m hermitian complex structures. These are derived from the existence of a nondegenerate closed conformal KillingYano tensor with distinct eigenvalues. More generally, a conformal KillingYano tensor, provided its
Results 1  10
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742