Statements (58)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
holonomy group
|
| gptkbp:action |
complex vector spaces
|
| gptkbp:associated_with |
gptkb:Calabi-Yau_manifolds
Riemannian manifolds the notion of curvature forms the notion of holomorphic connections |
| gptkbp:has_a |
n^2_-_1
|
| https://www.w3.org/2000/01/rdf-schema#label |
holonomy group SU(n)
|
| gptkbp:is_a |
gptkb:compact_Lie_group
topological group matrix group symmetry group unitary group |
| gptkbp:is_a_member_of |
true
|
| gptkbp:is_a_reflection_of |
quantum_field_theories
|
| gptkbp:is_a_representation_of |
true
unitary representations the fundamental group |
| gptkbp:is_a_subject_of |
theory of connections
the study of differential forms the theory of fiber bundles the study of fiber bundles the_theory_of_Riemann_surfaces |
| gptkbp:is_characterized_by |
preserving volume form
|
| gptkbp:is_essential_for |
mathematical physics
string compactifications the study of complex manifolds |
| gptkbp:is_involved_in |
the study of curvature
|
| gptkbp:is_open_to |
true
|
| gptkbp:is_recognized_for |
unitary transformations
the field of complex numbers n-dimensional complex manifolds |
| gptkbp:is_used_in |
string theory
theoretical physics differential geometry manifolds the study of geometric topology the analysis of geometric structures the analysis of symplectic structures the study of gauge fields |
| gptkbp:isConnectedTo |
gptkb:Kähler_manifolds
the study of algebraic topology the study of deformation theory the notion of parallel transport |
| gptkbp:maintainedBy |
complex structure
|
| gptkbp:members |
U(n)
GL(n, C) PSU(n) SO(2n) SU(n+1) |
| gptkbp:related_to |
the study of algebraic varieties
the study of moduli spaces symplectic geometry the theory of Lie algebras gauge theories the topology of manifolds complex algebraic geometry the classification of vector bundles |