Results 1 to 10 of about 20,148 (151)
The symplectic geometry of p-form gauge fields
We formulate interacting antisymmetric tensor gauge theory in a configuration space consisting of a pair of dual field strengths which has a natural symplectic structure. The field equations are formulated as the intersection of a pair of submanifolds of
Chris Hull, Maxim Zabzine
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The relations among two transversal submanifolds and global manifold
In Riemann geometry, the relations among two transversal submanifolds and global manifold are discussed. By replacing the normal vector of a submanifold with the tangent vector of another submanifold, the metric tensors, Christoffel symbols and curvature tensors of the three manifolds are linked together.
Yang, Guo-Hong +2 more
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Global pinching theorems for even dimensional minimal submanifolds in the unit spheres
The following global pinching theorem for minimal submanifolds is proved: Let \(M^{2n}\) be a minimal submanifold in the unit sphere with Euler characteristic less than or equal to two, then there exists a universal constant \(c(n)>0\), such that if \(\int_{M}S ...
Lin, Jun-min, Xia, Chang-yu
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Non-invertible symmetry in Calabi-Yau conformal field theories
We construct examples of non-invertible global symmetries in two-dimensional superconformal field theories described by sigma models into Calabi-Yau target spaces.
Clay Córdova, Giovanni Rizi
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Global thermodynamic manifold for conservative control of stochastic systems
Optimal control of stochastic systems plays a central role in nonequilibrium physics, with applications in the study of biological molecular motors and the design of single-molecule experiments. While exact analytic solutions to optimization problems are
Jordan R. Sawchuk, David A. Sivak
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Endpoint control stands as a pivotal determinant of steel quality. However, the data derived from the BOF steelmaking process are characterized by high dimension, with intricate nonlinear relationships between variables and diverse working conditions ...
Su YunKe +5 more
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SG-Lagrangian submanifolds and their parametrization [PDF]
We continue our study of tempered oscillatory integrals $I_\varphi(a)$, here investigating the link with a suitable symplectic structure at infinity, which we describe in detail.
Coriasco, Sandro, Schulz, René
core
Geometry of Kodaira moduli spaces
A general theorem on the existence of natural torsion-free affine connections on a complete family of compact complex submanifolds in a complex manifold is proved.
Merkulov, Sergey A.
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Geometric aspects of higher order variational principles on submanifolds
The geometry of jets of submanifolds is studied, with special interest in the relationship with the calculus of variations. A new intrinsic geometric formulation of the variational problem on jets of submanifolds is given.
Manno, Gianni, Vitolo, Raffaele
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Global Structure of Moduli Space for BPS Walls
We study the global structure of the moduli space of BPS walls in the Higgs branch of supersymmetric theories with eight supercharges. We examine the structure in the neighborhood of a special Lagrangian submanifold M, and find that the dimension of the ...
A. Białynicki-Birula +17 more
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