Physical Review Research, 2020 Inspired by recent developments generalizing Jordan-Wigner dualities to higher dimensions [Ann. Phys. 393, 234 (2018)APNYA60003-491610.1016/j.aop.2018.03.024], we develop a framework of such dualities using an algebraic formalism for translation ...
Nathanan Tantivasadakarn
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Minimal Immersions of Kahler manifolds into Euclidean Spaces [PDF]
, 2003 It is proved here that a minimal isometric immersion of a Kähler-Einstein or homogeneous Kähler-manifold into an Euclidean space must be totally ...
Di Scala, Antonio Jose'
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Algebraic higher symmetry and categorical symmetry: A holographic and entanglement view of symmetry
Physical Review Research, 2020 A global symmetry (0-symmetry) in an n-dimensional space acts on the whole space. A higher symmetry acts on closed submanifolds (i.e., loops and membranes, etc.), and those transformations form a higher group.
Liang Kong +4 more
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Global pinching theorems for minimal submanifolds in spheres [PDF]
Colloquium Mathematicum, 2003 The author proves some rigidity theorems. The framework is a compact submanifold with parallel mean curvature vector embedded in the unit sphere. Sobolev inequalities of P. Li are used as a tool to get estimates for the norms of certain tensors related to the second fundamental form of the compact submanifold conditions for the latter to be a minimal ...
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Singularities of equidistants and global centre symmetry sets of Lagrangian submanifolds [PDF]
Geometriae Dedicata, 2013 26 pages, 2 ...
Domitrz, Wojciech, Rios, Pedro de M.
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Symplectic duality of Symmetric Spaces [PDF]
, 2008 We show that between symmetric spaces of different types there exists a bi-symplectic map.
Loi, Andrea +4 more
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Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds [PDF]
Journal of Mathematical Physics, 2007 The obstruction to the existence of global action-angle coordinates of Abelian and noncommutative (non-Abelian) completely integrable systems with compact invariant submanifolds has been studied. We extend this analysis to the case of noncompact invariant submanifolds.
Fiorani, E., Sardanashvily, G.
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Submanifold of a Globally Para framed Metric Manifold
Journal of the Tensor Society, 2007 In this paper we have defined various kinds of Hx −connexions and stated and proved many theorems related to them. Some useful results have been derived in the form of corollaries. We have also generalized Gauss Characteristic and Mainardi-Codazzi equations and obtained the equations in the hypersurface therein.
Savita Patni, S B Pandey
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Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold [PDF]
, 2022 summary:The present paper deals with the study of some properties of anti-invariant submanifolds of trans-Sasakian manifold with respect to a new non-metric affine connection called Zamkovoy connection. The nature of Ricci flat, concircularly flat, $\xi $
Karmakar, Payel
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A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ, μ)-spaces [PDF]
, 2018 We present classifications of totally geodesic and totally umbilical Legendrian submanifolds of (κ, µ)-spaces with Boeckx invariant I ≤ −1. In particular, we prove that such submanifolds must be, up to local isometries, among the examples that we ...
Verónica Martín-Molina +7 more
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