Results 1 to 10 of about 1,624,556 (187)
Nullity distributions associated with Chern connection [PDF]
Publicationes Mathematicae Debrecen, 2016 The nullity distributions of the two curvature tensors \, $\overast{R}$ and $\overast{P}$ of the Chern connection of a Finsler manifold are investigated.
NABIL L. YOUSSE, SALAH G. ELGENDI
semanticscholar +5 more sources
Curvature properties of the Chern connection of twistor spaces [PDF]
Rocky Mountain Journal of Mathematics, 2005 The twistor space \Z of an oriented Riemannian 4-manifold M admits a natural 1-parameter family of Riemannian metrics h_t compatible with the almost complex structures J_1 and J_2 introduced, respectively, by Atiyah, Hitchin and Singer, and Eells and ...
Johann Davidov +2 more
semanticscholar +7 more sources
Resurgence of Chern-Simons Theory at the Trivial Flat Connection. [PDF]
Commun Math Phys, 2021 Some years ago, it was conjectured by the first author that the Chern–Simons perturbation theory of a 3-manifold at the trivial flat connection is a resurgent power series. We describe completely the resurgent structure of the above series (including the
Garoufalidis S +3 more
europepmc +6 more sources
Existence and uniqueness of Chern connection in the Klein-Grifone approach [PDF]
Journal of Dynamical Systems and Geometric Theories, 2014 The Klein-Grifone approach to global Finsler geometry is adopted. A global existence and uniqueness theorem for Chern connection is formulated and proved. The torsion and curvature tensors of Chern connection are derived.
Nabil L. Youssef, S. G. Elgendi
semanticscholar +6 more sources
On Hermitian manifolds whose Chern connection is Ambrose-Singer [PDF]
Transactions of the American Mathematical Society, 2022 We consider the class of compact Hermitian manifolds whose Chern connection is Ambrose-Singer, namely, it has parallel torsion and curvature. We prove structure theorems for such manifolds.
Lei Ni, Fangyang Zheng
openalex +4 more sources
Thermal Uhlmann-Chern number from the Uhlmann connection for extracting topological properties of mixed states [PDF]
Physical review B, 2018 The Berry phase is a geometric phase of a pure state when the system is adiabatically transported along a loop in its parameter space. The concept of geometric phase has been generalized to mixed states by the so called Uhlmann phase.
Yan He, Hao Guo, Chih-Chun Chien
openalex +3 more sources
Generalized real-space Chern number formula and entanglement hamiltonian [PDF]
SciPost Physics, 2023 We generalize a real-space Chern number formula for gapped free fermions to higher orders. Using the generalized formula, we prove recent proposals for extracting thermal and electric Hall conductance from the ground state via the entanglement ...
Ruihua Fan, Pengfei Zhang, Yingfei Gu
doaj +2 more sources
Connection between the winding number and the Chern number [PDF]
Chinese Journal of Physics, 2021 Bulk-edge correspondence is one of the most distinct properties of topological insulators. In particular, the 1D winding number $\n$ has a one-to-one correspondence to the number of edge states in a chain of topological insulators with boundaries. By properly choosing the unit cells, we carry out numerical calculation to show explicitly in the extended
Hank Chen, Chia-Hsun Chang, H. Kao
semanticscholar +4 more sources
Topological linear response of hyperbolic Chern insulators [PDF]
SciPost PhysicsWe establish a connection between the electromagnetic Hall response and band topological invariants in hyperbolic Chern insulators by deriving a hyperbolic analog of the Thouless-Kohmoto-Nightingale-den Nijs (TKNN) formula.
Canon Sun, Anffany Chen, Tomáš Bzdušek, Joseph Maciejko
doaj +2 more sources
Measuring topology from dynamics by obtaining the Chern number from a linking number [PDF]
Nature Communications, 2019 The connection between the topological properties of the ground state and non-equilibrium dynamics remains obscure. Here, Tarnowski et al. define and measure a linking number between static and dynamical vortices, which directly corresponds to the ground-
Matthias Tarnowski +6 more
doaj +2 more sources