Results 121 to 130 of about 379,230 (325)
On Brane Solutions Related to Non-Singular Kac-Moody Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2009 A multidimensional gravitational model containing scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M_0 × M_1 × ... × M_n, where M_i are Einstein spaces (i ≥ 1).
Vladimir D. Ivashchuk +1 more
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On the Davis hyperbolic 4-manifold
Topology and its Applications, 2001 The Davis hyperbolic 4-manifold [\textit{M. W. Davis}, Proc. Am. Math. Soc. 93, 325-328 (1985; Zbl 0533.51015)] is the simplest and most well-known example of a closed orientable hyperbolic 4-manifold; it was constructed geometrically by gluing together the opposite sides of a regular 120-cell in hyperbolic 4-space, and it was shown to be the orbit ...
Steven T. Tschantz, John G. Ratcliffe
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Advanced Robotics Research, EarlyView.Combining a biomimetic soft‐robot with deep‐learning data analytics sheds light on a unique peripheral dynamics seen in the biosonar system of bats: Bats modulate their ultrasonic biosonar signals upon emission as well as reception with variable, yet highly coordinated motion patterns of their noseleaves and pinnae.
Shuxin Zhang +4 more
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Stable manifolds for hyperbolic sets [PDF]
Bulletin of the American Mathematical Society, 1969 turns out that they STABLE MANIFOLDS AND HYPERBOLIC SETS ' MORRIS W. I-{HIRSCH AND CHARLES c. PUGH - 0. Introduction. Let U be an open set in a smooth manifold M and f '.U —» M a C‘ map. A fixed point x of f is hyperbolic if the derivative ’I;f:M,, —g M, is an isomorphism and its spectrum is separated by the unit circle.
Hirsch, Morris W., Pugh, Charles C.
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Advanced Robotics Research, EarlyView.Inflatable kirigami crawlers are fabricated from heat‐sealable textiles and achieve motion through cyclic pneumatic actuation. Strategically placed kirigami cuts guide asymmetric deformation, doubling contraction compared to traditional pouches and forming scale‐like surfaces.
Burcu Seyidoğlu +3 more
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A real Schwarz lemma and some applications [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1998 The “Minimal Volume” of a differentiable manifold was introduced by M. Gromov in order to generalize (in any dimension) the inequalities deduced from the Gauss-Bonnet-Chern-Weil theory of characteristic classes. By bounding the minimal volume in terms of
Gérard Besson +2 more
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Complex hierarchical structures in single-cell genomics data unveiled by deep hyperbolic manifold learning. [PDF]
Genome Res, 2023 Tian T +4 more
europepmc +1 more source
Homotopy hyperbolic 3-manifolds are virtually hyperbolic [PDF]
Journal of the American Mathematical Society, 1994 If a closed 3-manifold is virtually hyperbolic (finitely covered by a hyperbolic manifold) then it is irreducible, and it is an easy consequence of Mostow rigidity that it is also homotopy hyperbolic (homotopy equivalent to a hyperbolic 3-manifold). This paper establishes the converse.
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Soft Actuators Integrated with Control and Power Units: Approaching Wireless Autonomous Soft Robots
Advanced Robotics Research, EarlyView.Soft robots exhibit significant development potential in various applications. However, there are still key technical challenges regarding material improvement, structure design and components integration. This review focuses on the development and challenge of soft actuators, power components, and control components in untethered intelligent soft ...
Renwu Shi, Feifei Pan, Xiaobin Ji
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A Replicable and Generalizable Neuroimaging‐Based Indicator of Pain Sensitivity Across Individuals
Advanced Science, EarlyView.Humans differ in their sensitivity to pain. With six large and diverse fMRI datasets (total N = 1046), this study finds that such individual differences in pain sensitivity can be tracked by fMRI responses to painful stimuli. A highly generalizable machine learning model is further built to predict pain sensitivity across all datasets and analgesic ...
Li‐Bo Zhang +7 more
wiley +1 more source