Results 111 to 120 of about 64,208 (273)

Optimal Inequalities Characterizing Totally Real Submanifolds in Quaternionic Space Form

open access: yesMathematics
In the present paper, we investigate some pinching inequalities on the scalar curvature of a totally real submanifold in quaternionic space form that leads to a topological conclusion of the submanifold. In addition, we construct another inequality which
Fatimah Alghamdi, Akram Ali
doaj   +1 more source

Principal toroidal bundles over Cauchy-Riemann products

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1990
The main result we obtain is that given π:N→M a Ts-subbundle of the generalized Hopf fibration π¯:H2n+s→ℂPn over a Cauchy-Riemann product i:M⊆ℂPn, i.e.
L. Maria Abatangelo, Sorin Dragomir
doaj   +1 more source

Infinity-Minimal Submanifolds [PDF]

open access: yes, 2012
We identify the Variational Principle governing inifinity-Harmonic maps, that is solutions to the Infinity-Laplacian. The system was first derived in the limit of the p-Laplacian as p->inifinity in [K2] and is recently studied in [K3]. Here we show that it is the "Euler-Lagrange PDE" of vector-valued Calculus of Variations in L-inifinity for the L ...
openaire   +2 more sources

The discriminant of quasi m-boundary singularities

open access: yesDemonstratio Mathematica
We describe the discriminant of deformations of simple quasi m-boundary equivalence classes for m≥2m\ge 2. All quasi simple mm-boundary classes are right equivalent to Arnold’s singularities (ADE).
Alharbi Fawaz, Al-hudhali Eman
doaj   +1 more source

Biomechanical Modeling of Finger Joints Based on Dimeric Kinematics

open access: yesCurrent Directions in Biomedical Engineering
In the literature, the proximal and distal interphalangeal joints (PIP and DIP) are usually described as singleaxis hinge joints, whereas the metacarpophalangeal (MCP) joint is typically described as a two-axis joint.
Franke Marc, Bogdan Martin
doaj   +1 more source

Homological invariants of codimension 2 contact submanifolds

open access: green, 2020
Laurent Côté   +1 more
openalex   +1 more source

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