Results 81 to 90 of about 71,314 (310)

Strongly Asymptotically Hyperbolic Spin Manifolds [PDF]

Mathematical Research Letters, 2000
Inspired by \textit{E. Witten}'s proof of the positive energy theorem [Commun. Math. Phys. 65, 381-420 (1981)], the author presents a generalization of \textit{M. Min-Oo}'s scalar curvature rigidity theorem for asymptotically hyperbolic spin manifolds, [Math. Ann. 285, 527-539 (1989; Zbl 0686.53038)].
openaire   +1 more source

Hyperbolic Volumes of Two Bridge Cone-Manifolds

Известия Иркутского государственного университета: Серия "Математика"
In this paper we investigate the existence of hyperbolic, Euclidean and spherical structures on cone-manifolds with underlying space 3-sphere and with singular set a given two-bridge knot.
A. D. Mednykh, A. B. Qutbaev
doaj   +1 more source

A new look at the C 0-formulation of the strong cosmic censorship conjecture

New Journal of Physics, 2022
We examine the C ^0 -formulation of the strong cosmic censorship conjecture (SCC) from a quantum complexity-theoretic perspective and argue that for generic black hole parameters as initial conditions for the Einstein equations, corresponding to the ...
Aditya Iyer, Alexander Y Yosifov, Vlatko Vedral   +2 more
doaj   +1 more source

Integration of Soft‐Robotics and Deep Learning to Assess the Coordinated Biosonar Emission and Reception Dynamics in Hipposiderid Bats

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, Ruihao Wang, Xiaoyan Yin, Luhui Yang, Rolf Müller   +4 more
wiley   +1 more source

Persistent Manifolds are Normally Hyperbolic [PDF]

Transactions of the American Mathematical Society, 1974
Let M be a smooth manifold, f : M ∣ a C 1 f:\,M\,\mid \text {a}\,{{C}^{1}} diffeomorphism and V ⊂ M a
openaire   +5 more sources

Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold [PDF]

Journal of Hyperstructures
In the present paper we study Ricci-Bourguignon solitons on three dimensional para-Sasakian manifolds with potential vector field as a special vector field. We proved the conditions for such manifold to be isometric to hyperbolic space.
Yashaswini R, Nagaraja H.G.
doaj   +1 more source

On the Ambartzumian-Pleijel identity in hyperbolic geometry [PDF]

, 2014
We describe a hyperbolic version of the Ambartzumian-Pleijel identity. We use this identity to prove the hyperbolic Crofton formula and the hyperbolic isoperimetric inequality.
Binbin, Xu
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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
wiley   +1 more source

Hyperbolic conformal Ricci solitons and gradient hyperbolic conformal Ricci solitons on bulk viscous fluid string spacetime

European Physical Journal C: Particles and Fields
We explore the Geometrization of hyperbolic conformal Ricci solitons and examine the properties of bulk viscous fluid string spacetime in conjunction with the hyperbolic conformal Ricci solitons in this research note. A $$\varnothing ({\mathfrak {Q}})$$ ∅
Mohd Danish Siddiqi, Amira A. Ishan, Meraj Ali Khan   +2 more
doaj   +1 more source

Geometrically bounding 3-manifold, volume and Betti number

, 2018
It is well known that an arbitrary closed orientable $3$-manifold can be realized as the unique boundary of a compact orientable $4$-manifold, that is, any closed orientable $3$-manifold is cobordant to zero.
Ma, Jiming, Zheng, Fangting
core