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Special Lagrangian 4-folds with $SO(2)\rtimes S_3$-Symmetry in Complex Space Forms
Lagrangian 4-folds Complex Space Forms Differential Geometry
2011/8/25
Abstract: In this article we obtain a classification of special Lagrangian submanifolds in complex space forms subject to an $SO(2)\rtimes S_3$-symmetry on the second fundamental form. The algebraic s...
Rectangular Mixed Elements for Elasticity with Weakly Imposed symmetry Condition
Rectangular Mixed Elements Elasticity symmetry Condition
2011/1/19
We present new rectangular mixed nite elements for linear elasticity.The approach is based on a modi cation of the Hellinger-Reissner functional in which the symmetry of the stress eld is enforced w...
Affine Bodies Revisited. Constraints, Symmetry, Analytical Methods and Some Perspectives
Affine Bodies Revisited Constraints Symmetry
2011/2/25
The purpose of this publication is to derive and discuss equations of mo-tion of affinely rigid (homogeneously deformable) body moving in Eu-clidean space of general dimension n. Our aim is to present...
Tetrad gravity, electroweak geometry and conformal symmetry
Tetrad gravity 2-spinors electroweak geometry conformal symmetry dilaton
2010/12/3
A partly original description of gauge fields and electroweak geometry is proposed. A discussion of the breaking of conformal symmetry and the nature of the dilaton in the proposed setting indicates t...
Extending PT symmetry from Heisenberg algebra to E2 algebra
Extending PT symmetry Heisenberg algebra E2 algebra
2010/12/15
The E2 algebra has three elements, J, u, and v, which satisfy the commutation relations [u; J] = iv, [v; J] = iu, [u; v] = 0. We can construct the Hamiltonian H = J2 +gu, where g is a real p...
Affine Manifolds, Log Structures, and Mirror Symmetry
Affine Manifolds Log Structures Mirror Symmetry
2010/3/1
We outline work in progress suggesting an algebro-geometric version of the Strominger-Yau-Zaslow conjecture. We define the notion of a toric degeneration, a special case of a maximally unipotent degen...
Mirror symmetry and actions of braid groups on derived categories
Mirror symmetry actions braid groups derived categories
2010/10/29
Talk given at Harvard, January 1999, published in the Proceedings of the Harvard Winter School on mirror symmetry, vector bundles and lagrangian cycles, 1999, International Press. Surveys the joint wo...
We introduce the notion of modular symmetry classes of tensors and give a necessary and sufficient condition for a modular symmetry class of tensors associated with the full symmetric group to be non-...