Statements (59)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
complex manifold
|
| gptkbp:associated_with |
complex geometry
Laplacian operator Chern_classes Hodge_decomposition |
| gptkbp:can_be |
true
non-trivial fundamental group holomorphic vector fields |
| gptkbp:designatedAs |
topological invariants
Kähler classes |
| gptkbp:has_a |
n
Kähler_curvature Kählerian |
| gptkbp:has_a_focus_on |
mathematical physics
|
| gptkbp:hasSpecialty |
gptkb:Kähler_metric
symplectic structure Riemannian_metric |
| https://www.w3.org/2000/01/rdf-schema#label |
Kähler manifold
|
| gptkbp:is_a |
Riemannian manifold
differential manifold |
| gptkbp:is_a_subject_of |
theoretical physics
mirror symmetry differential topology |
| gptkbp:is_characterized_by |
Kähler metrics
Kähler_forms Kähler_identity closed_Kähler_form |
| gptkbp:is_designed_to |
complex projective spaces
|
| gptkbp:is_essential_for |
mathematical physics
string compactifications geometric analysis string theory applications |
| gptkbp:is_integrated_with |
projective space
complex projective space. |
| gptkbp:is_involved_in |
symplectic manifold
|
| gptkbp:is_studied_in |
algebraic geometry
differential geometry topology complex geometry complex manifolds sheaf cohomology complex algebraic geometry moduli_spaces |
| gptkbp:is_used_in |
gptkb:Kähler-Ricci_flow
string theory mathematical modeling complex analysis complex differential geometry Kähler_potential |
| gptkbp:isConnectedTo |
algebraic topology
quantum_field_theory |
| gptkbp:related_to |
gptkb:Calabi-Yau_manifolds
gptkb:Fubini-Study_metric Riemann surfaces complex structures symplectic geometry Calabi_conjecture Hodge_theory |
| gptkbp:standardFeatures |
gptkb:Hermitian_manifold
|