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 20 of 33 for “"submanifold"”.
-
Submanifold Helicity
… the three-dimensional idea of helicity to both submanifolds and higher dimension ambient spaces.
-
Nonlinear Dynamics in Metamaterials under Elastic and Plastic Excitation and Spectral Submanifold Parameterization
… harmonic balance method supplemented by spectral submanifolds for the analysis of nonlinear dynamical systems. As a generalization of nonlinear normal modes, spectral submanifolds parameterize nonlinear dynamical systems, effectively reducing the number of generalized coordinates. This portion of …
-
On the stress in an internally constrained elastic material
… constrained elastic material point form a closed submanifold in the space of invertible tensors. This submanifold, the constraint manifold, is described locally in terms of a manifold structure on the invertible tensors. Constraint functions arise naturally from the submanifold properties of the …
-
Transitions in Line Bitangency Submanifolds for a One-Parameter Family of Immersion Pairs
… them. Furthermore, we define the line bitangency submanifold as the union of all such pairs of points in M x N. In this thesis we investigate the dynamics of the line bitangency submanifold in a one-parameter family of immersion pairs. We do so by translating one of the surfaces and studying the …
-
Deformation theory of Cayley submanifolds
Cayley submanifolds are naturally arising volume minimising submanifolds of $Spin(7)$- manifolds. In the special case that the ambient manifold is a four-dimensional Calabi--Yau manifold, a Cayley submanifold might be a complex surface, a special Lagrangian submanifold or neither. In this thesis, …
-
Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions
… of arbitrary genus with boundary in a Lagrangian submanifold. We assume the Lagrangian submanifold arises as the fixed points of an anti-symplectic involution and has dimension 2 or 3. In the strongly semi-positive genus 0 case, the new invariants coincide with Welschinger's invariant counts of …
-
Deformations of Cayley submanifolds
Cayley submanifolds of R^8 were introduced by Harvey and Lawson as an instance of calibrated submanifolds, extending the volume-minimising properties of complex submanifolds in Kähler manifolds. More generally, Cayley submanifolds are 4-dimensional submanifolds which may be defined in an 8-manifold …
-
Computations in monotone Floer theory
… symplectic manifolds and their Lagrangian submanifolds with the help of holomorphic curves. Its origins lie in estimating the numbers of equilibria in Hamiltonian dynamics, and more recently it has become a major component of the Homological Mirror Symmetry conjecture. This work presents …
-
The Geodesic Gauss Map and Ruh-Vilms theorem for a Hypersurface in S^{n}
… theorem is a statement about the Gauss map for a submanifold of R^{n+1} . Our aim is to prove, an isometrically immersed hypersurface f : M −→ S^{n} has constant mean curvature if and only if the Gauss map of γ is harmonic. Here we provide a proof of the Ruh-Vilms result using Homogeneous …
-
Orderability and rigidity in contact geometry
… version of orderability for a Legendrian submanifold, and discuss the relationship between the two notions.</p>
-
A-infinity algebras for Lagrangians via polyfold theory for Morse trees with holomorphic disks
For a Lagrangian submanifold, we define a moduli space of trees of holomorphic disk maps with Morse flow lines as edges, and construct an ambient space around it which we call the quotient space of disk trees. We show that this ambient space is an M-polyfold with boundary and corners by combining …
-
Modeling and Estimation of Bat Flight for Learning Robotic Joint Geometry from Potential Fields
… which restricts robotic joints to a motion submanifold identified from motion capture data. To this end, we present a spatially recursive state estimator which incorporates inboard state correction for producing accurate state estimates of bat flight. Using these state estimates, we …
-
Some results on nonlinear optimal control
… case where the invariant target set is a compact submanifold of the state space.
-
On regularity for integral currents - the smooth approximation of cycles
… integral cycle can be approximated by a smooth submanifold up to a singular set of codimension 5. This is based on a joint study with William Browder and Camillo De Lellis, completing the program started by the former author with Frederick J. Almgren. The second part of the thesis extends the …
-
Area-contracting maps between rectangles
… of S into R which maps each k-dimensional submanifold of S to an image with larger k-volume. I also applied the k-dilation techniques to two purely topological problems: estimating the Hopf invariant of a map from a 3-manifold to a high-genus surface, and determining whether there is a map …
-
Higher canonical asymptotics of Kähler-Einstein metrics on quasi-projective manifolds
… Next, by choosing a canonical metric on the submanifold, we construct an initial Kidhler metric on the quasi-projective manifold such that the unique solution of the Monge-Ampere equation belongs to the weighted -1 Cheng-Yau Hölder ring. Moreover, we generalize the Fefferman's operator to act …
-
Exotic Phenomena in Dimension Four
… by removing a single compact contractible submanifold (or cork) from X, and then regluing it by powers of a boundary diffeomorphism. Furthermore, by allowing the cork to be noncompact, the collection of all the smooth manifolds homeomorphic to X can be obtained in this way. The existence of …
-
Hamiltonian Actions In Integral Kahler And Generalized Complex Geometry
… convexity result for the moment map image of the submanifold fixed by an anti-symplectic involution. Analogous to Guillemin and Sjamaar's generalization of Brion's theorem, in the first part of this thesis we generalize O'Shea and Sjamaar's result, proving a convexity theorem for the moment map …
-
Modular Hopping and Running via Parallel Composition
… the orthodox notion (attracting invariant submanifold with restriction dynamics conjugate to a template system) has only been formally synthesized in a few isolated instances in engineering (juggling, brachiating, hexapedal running robots, etc.) and formally observed in biology only in …
-
Aspects of Generalized Geometry: Branes with Boundary, Blow-ups, Brackets and Bundles
… In the first part, we introduce a new class of submanifolds in stable generalized complex manifolds, so-called Lagrangian branes with boundary. We establish a correspondence between stable generalized complex geometry and log symplectic geometry, which allows us to prove results on local …
Page 1 of 2