Results 21 to 30 of about 1,504 (198)
Cylindricity of isometric immersions into Euclidean space [PDF]
Proceedings of the American Mathematical Society, 1975 A simple geometric proof is given for the Hartman-Nirenberg cylindricity theorem and some generalizations. Then the following cylindricity theorem (unpublished) of S. Alexander is proved using the same idea. Theorem. Let
openaire +1 more source
Characterizations of Spheres and Euclidean Spaces by Conformal Vector Fields
MathematicsA nontrivial conformal vector field ω on an m-dimensional connected Riemannian manifold Mm,g has naturally associated with it the conformal potential θ, a smooth function on Mm, and a skew-symmetric tensor T of type (1,1) called the associated tensor ...
Sharief Deshmukh +2 more
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Non-isometric quantum error correction in gravity
Journal of High Energy Physics, 2023 We construct and study an ensemble of non-isometric error correcting codes in a toy model of an evaporating black hole in two-dimensional dilaton gravity. In the preferred bases of Euclidean path integral states in the bulk and Hamiltonian eigenstates in
Arjun Kar
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Killing and 2-Killing Vector Fields on Doubly Warped Products
Mathematics, 2023 We provide a condition for a 2-Killing vector field on a compact Riemannian manifold to be Killing and apply the result to doubly warped product manifolds.
Adara M. Blaga, Cihan Özgür
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TacScope: A Miniaturized Vision‐Based Tactile Sensor for Surgical Applications
Advanced Robotics Research, EarlyView.TacScope is a compact, vision‐based tactile sensor designed for robot‐assisted surgery. By leveraging a curved elastomer surface with pressure‐sensitive particle redistribution, it captures high‐resolution 3D tactile feedback. TacScope enables accurate tumor detection and shape classification beneath soft tissue phantoms, offering a scalable, low‐cost ...
Md Rakibul Islam Prince +3 more
wiley +1 more source
Advanced Robotics Research, EarlyView.This work presents a robotic control method for human–robot collaborative assembly based on a biomechanics‐constrained digital human model. Reinforcement learning is used to generate physiologically plausible human motion trajectories, which are integrated into a virtual environment for robot control learning.
Bitao Yao +4 more
wiley +1 more source
Minimal surfaces in euclidean 3-space and their mean curvature 1 cousins in hyperbolic 3-space
Anais da Academia Brasileira de Ciências, 2003 We show that the Hopf differentials of a pair of isometric cousin surfaces, a minimal surface in euclidean 3-space and a constant mean curvature (CMC) one surface in the 3-dimensional hyperbolic space, with properly embedded annular ends, extend ...
Shoichi Fujimori
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Atmosphere, 2022 Isometric feature mapping (ISOMAP) is a nonlinear dimensionality reduction method used for extracting features from spatiotemporal data. The traditional principal component analysis (PCA), a linear dimensionality reduction method, measures the distance ...
John Chien-Han Tseng
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Discrete 2D Material Programming for 3D Shaping and Morphogenesis‐Inspired 4D Bioprinting
Advanced Science, EarlyView.Cell‐compatible discrete 2D material programming enables 2‐to‐3D shape transformation and morphogenesis‐inspired 4D bioprinting. By patterning cell‐supportive microdomains within a responsive hydrogel, the approach programs in‐plane growth to encode target metrics.
Fereshteh Family +3 more
wiley +1 more source
Effect of local fractional derivatives on Riemann curvature tensor
Examples and CounterexamplesIn this paper, we give a main example indicating the ineffectiveness of the local fractional derivatives on the Riemann curvature tensor that is a common tool in calculating curvature of a Riemannian manifold. For this, first we introduce a general local
Muhittin Evren Aydin
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