منابع مشابه
Extrinsic sphere and totally umbilical submanifolds in Finsler spaces
Based on a definition for circle in Finsler space, recently proposed by one of the present authors and Z. Shen, a natural definition of extrinsic sphere in Finsler geometry is given and it is shown that a connected submanifold of a Finsler manifold is totally umbilical and has non-zero parallel mean curvature vector field, if and only if its circles coincide with circles of the ambient...
متن کاملConfiguration spaces on the sphere and higher loop spaces
We show that the homology over a field of the space ΛnΣnX of free maps from the n-sphere to the n-fold suspension of X depends only on the cohomology algebra of X and compute it explicitly. We compute also the homology of the closely related labelled configuration space C(Sn, X) on the n-sphere with labels in X and of its completion, that depends only on the homology of X. In many but not all c...
متن کاملHamiltonian mappings with sphere packing phase spaces
We introduce three area preserving maps with phase space structure which resemble circle packings. Each mapping is derived from a kicked Hamiltonian system with one of three different phase space geometries (planar, hyperbolic or spherical) and exhibits an infinite number of coexisting stable periodic orbits which 'pack' the phase space with circular resonances.
متن کاملSymmetry in Sphere-Based Assembly Configuration Spaces
Many remarkably robust, rapid and spontaneous self-assembly phenomena occurring in nature can be modeled geometrically, starting from a collection of rigid bunches of spheres. This paper highlights the role of symmetry in sphere-based assembly processes. Since spheres within bunches could be identical and bunches could be identical, as well, the underlying symmetry groups could be of large orde...
متن کاملextrinsic sphere and totally umbilical submanifolds in finsler spaces
based on a definition for circle in finsler space, recently proposed by one of the present authors and z. shen, a natural definition of extrinsic sphere in finsler geometry is given and it is shown that a connected submanifold of a finsler manifold is totally umbilical and has non-zero parallel mean curvature vector field, if and only if its circles coincide with circles of the ambient...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1935
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.21.7.464