Results 21 to 30 of about 122,406 (140)
On special submanifolds in symplectic geometry [PDF]
We study the symplectic geometry of submanifolds of a manifold P equipped with a Kähler metric of non-positive curvature.
Ciriza, Eleonora
core +1 more source
We present a new formulation for protein flexibility and learn protein motions from sparse experimental data.Proteins move and deform to ensure their biological functions. Despite significant progress in protein structure prediction, approximating conformational ensembles under physiological conditions remains a fundamental open problem.
Valentin Lombard +3 more
wiley +1 more source
Ideal CR submanifolds in non-flat complex space forms [PDF]
summary:An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds.
Sasahara, Toru
core +1 more source
A trace–path integral formula over function fields
Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley +1 more source
Mobius isotropic submanifolds in S-n
Let x : M-m --> S-n be a submanifold in the n-dimensional sphere S' without umbilics. Two basic invariants of x under the Mobius transformation group in S' are a I-form 0 called the Mobius form and a symmetric (0, 2) tensor A called the ...
Zhao, Guosong +5 more
core +1 more source
Mizohata–Takeuchi inequalities for orthonormal systems
Abstract We establish some weighted L2$L^2$ inequalities for Fourier extension operators in the setting of orthonormal systems. In the process, we develop a direct approach to such inequalities based on generalized Wigner distributions, complementing the Schatten space approach that is prevalent in the wider context of estimates for such orthonormal ...
Jonathan Bennett +4 more
wiley +1 more source
Weinstein neighborhood theorems for stratified subspaces
Abstract By analogy with Weinstein's neighborhood theorem, we prove a uniqueness result for symplectic neighborhoods of a large family of stratified subspaces. This result generalizes existing constructions, for example, in the search for exotic Lagrangians.
Yael Karshon +2 more
wiley +1 more source
Kähler submanifolds with parallel pluri-mean curvature [PDF]
We investigate the local geometry of a class of Kähler submanifolds M⊂Rn which generalize surfaces of constant mean curvature. The role of the mean curvature vector is played by the (1,1)-part (i.e., the dzidz̄j-components) of the second fundamental form
Burstall, F.E. +7 more
core +1 more source
Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley +1 more source
Infinity‐operadic foundations for embedding calculus
Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley +1 more source

