Search
Search Results
-
-
The Branched Deformations of the Special Lagrangian Submanifolds
In this paper, we investigate the branched deformations of immersed compact special Lagrangian submanifolds. If there exists a nondegenerate
... -
Lagrangian Floer Theory and Its Deformations An Introduction to Filtered Fukaya Category
A-infinity structure was introduced by Stasheff in the 1960s in his homotopy characterization of based loop space, which was the culmination of...
-
Finiteness of stable Lagrangian fibrations
In this paper we survey some finiteness results of the deformation classes of hyperkähler Lagrangian fibrations, and we prove finiteness for stable...
-
Canonical Operator on Punctured Lagrangian Manifolds and Commutation with Pseudodifferential Operators: Local Theory
AbstractMaslov’s canonical operator on punctured Lagrangian manifolds provides a solution to the Cauchy problem with initial data concentrated near...
-
A Survey on Lagrangian Submanifolds of Nearly Kaehler Six-Sphere
We first review the nearly Kaehler structure on the six-dimensional unit sphere...
-
Existence of generating families on Lagrangian cobordisms
For an embedded exact Lagrangian cobordism between Legendrian submanifolds in the 1-jet bundle, we prove that a generating family linear at infinity...
-
On the existence of geodesics connecting Lagrangian graphs in Euclidean space
Existence theory for geodesics in the space of Lagrangian submanifolds plays an important role in a program for studying the existence and uniqueness...
-
Foundations of Lagrangian Mechanics
In this chapter we shall introduce the Lagrangian formulation of Classical Mechanics. We remind that the presence of constraint reactions with...
-
On the gluing construction of translating solitons to Lagrangian mean curvature flow
We construct Lagrangian translating solitons by desingularizing the intersection points between Lagrangian Grim Reaper cylinders with the same phase...
-
Regularity of Critical Points of the Volume Functional for Lagrangian Submanifolds
We give a brief survey with emphasis on recent advances on regularity of solutions to the special Lagrangian equation and the Hamiltonian stationary...
-
Computing Second-Order Points Under Equality Constraints: Revisiting Fletcher’s Augmented Lagrangian
We address the problem of minimizing a smooth function under smooth equality constraints. Under regularity assumptions on these constraints, we...
-
Exact discrete Lagrangian mechanics for nonholonomic mechanics
We construct the exponential map associated to a nonholonomic system that allows us to define an exact discrete nonholonomic constraint submanifold....
-
Lagrangian Fibrations
We review the theory of Lagrangian fibrations of hyperkähler manifolds as initiated by Matsushita. We also discuss more recent work of Shen–Yin and...
-
Lagrangian mean curvature flow with boundary
We introduce Lagrangian mean curvature flow with boundary in Calabi–Yau manifolds by defining a natural mixed Dirichlet-Neumann boundary condition,...
-
Observations on Disks with Tropical Lagrangian Boundary
In this survey, we look at some expectations for Lagrangian submanifolds which are built as the lifts of tropical curves from the base of an...
-
Reeb chords of Lagrangian slices
In this short note, we observe that the boundary of a properly embedded compact exact Lagrangian sub-manifold in a subcritical Weinstein domain X...