Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 8 of 8 for “"Left invariant"”.
-
Nilmanifolds: complex structures, geometry and deformations
We consider nilmanifolds with left-invariant complex structure and prove that in the generic case small deformations of such structures are again left-invariant. The relation between nilmanifolds and iterated principal holomorphic torus bundles is clarified and we give criteria under which …
-
On the existence of complex-valued harmonic morphisms
… We also give a new method for constructing left-invariant foliations on a large class of Lie groups producing harmonic morphisms. Paper II. We study left-invariant complex-valued harmonic morphisms from Riemannian Lie groups. We show that in each dimension greater than $3$ there exist …
-
[rho]-compact groups as framed manifolds
… element represented by the manifold G with its left-invariant framing. To this end, we construct a d-dimensional sphere SG with a stable G-action for every d-dimensional [rho]-compact group G, which generalizes the one-point compactification of the Lie algebra of a Lie group. The homotopy class …
-
On properties of linear control systems on Lie groups
… and the control vectors Y<sub>j</sub> are left-invariant vector fields. Properties for the flow of the infinitesimal automorphism X and for the reachable set defined by _x0006_Σ are presented in Chapter 3. Under a condition similar to the Kalman condition which is needed for controllability …
-
Optimal control problems on lie groups with symmetry breaking cost functions
… for which the associated Hamiltonian function is left-invariant under the action of a subgroup of the Lie group. Necessary conditions for optimality are derived by applying Lie-Poisson reduction for semidirect products, a previously developed method of symmetry group reduction in the field of …
-
N-Bakry Emery Ricci Curvature & N-Quasi Einstein Metrics
… Einstein, the potential vector field X must be left invariant and Killing. We also classify the nontrivial N-quasi Einstein metrics that are a compact quotient of be the product of two Einstein metrics. We also show that S^1 is the only compact manifold of any dimension which admits a metric …
-
N-bakry Emery Ricci Curvature & N-quasi Einstein Metrics
… Einstein, the potential vector field X must be left invariant and Killing. We also classify the nontrivial N-quasi Einstein metrics that are a compact quotient of be the product of two Einstein metrics. We also show that S^1 is the only compact manifold of any dimension which admits a metric …
-
Structures and dynamics
… orbits of Polish groups which admit a complete left invariant metric (CLI groups). We apply this criterion to the relation of equality of countable sets of reals and we show that the relations of unitary conjugacy of unitary and selfadjoint operators on the separable in nite-dimensional Hilbert …