Results 41 to 50 of about 1,153 (186)
This paper aims to present work on contact pseudo-slant submanifolds of para-Sasakian manifolds. The study includes the definitions and some results on type 1, type 2, and type 3 contact pseudo-slant submanifolds.
Hüseyin Yiğit, Süleyman Dirik
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Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
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Weak Nearly
The recent interest in geometers in the f-structures of K. Yano is motivated by the study of the dynamics of contact foliations, as well as their applications in theoretical physics.
Vladimir Rovenski
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Statistical cosymplectic manifolds and their submanifolds
Introduction Let p(x,ζ) be the set of parametric probability distribution with parameter ζ=ζ1,…,ζn∊Rn. This set is called a statistical model or manifold. The distance between two points is measured by the Fisher metric. In general, statistical manifolds
Mohammad Bagher Kazemi, Shiva Salahvarzi
doaj
ABSTRACT Recently, [JCP 161, 114114 (2024)] successfully derived numerically stable and converging (to the time‐dependent complete active space self‐consistent‐field) time‐dependent orthogonal coupled cluster (CC) methods, namely, time‐dependent orbital optimized CC (TD‐ooCC) methods for fermion‐mixtures with arbitrary fermion kinds and numbers, via ...
Haifeng Lang, Takeshi Sato
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Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms
In this article, we obtain improved Chen-Ricci inequalities for submanifolds of generalized space forms with quarter-symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space ...
Ali H. Al-Khaldi +3 more
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Symmetry‐Restricted Energy Landscapes as a Benchmark for Machine Learned Interatomic Potentials
We present a benchmark for assessing the physical accuracy of machine‐learned interatomic potentials. By constructing two‐dimensional potential energy surface slices along symmetry‐allowed degrees of freedom and comparing them with DFT, the benchmark reveals model strengths, weaknesses, and artifacts, providing an easily interpretable test of energy ...
Abhijith S. Parackal +2 more
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On spherical submanifolds with nullity [PDF]
We derive a new condition for spherical submanifolds with positive relative nullity. As an application we obtain that the Ricci curvature is bounded from above by the curvature of the ambient space.
Dajczer, Marcos, Gromoll, Detlef
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On contact CR-submanifolds of sasakian manifolds
Recently, K.Yano and M.Kon [5] have introduced the notion of a contact CR-submanifold of a Sasakian manifold which is closely similar to the one of a CR-submanifold of a Kaehlerian manifold defined by A. Bejancu [1].
Koji Matsumoto
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ABSTRACT This work presents a general framework for deriving the Young–Laplace equation and the Young's equations for an axisymmetric capillary bridge between two parallel plates by minimizing the system's total energy. These Young's equations naturally emerge as boundary conditions associated with the Young–Laplace equation.
Olivier Millet +3 more
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