Results 101 to 110 of about 29,252 (258)

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

First eigenvalue of submanifolds in Euclidean space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
We give some estimates of the first eigenvalue of the Laplacian for compact and non-compact submanifold immersed in the Euclidean space by using the square length of the second fundamental form of the submanifold merely.
Kairen Cai
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

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

HOLONOMY AND SUBMANIFOLD GEOMETRY

open access: yes, 2002
The article is a survey of applications of holonomy techniques to the study of submanifold geometry of spaces of constant curvature. The central tool is the normal holonomy theorem, proved by \textit{C. Olmos} in [Proc. Am. Math. Soc. 110, No. 3, 813--818 (1990; Zbl 0708.53023)].
DI SCALA, ANTONIO JOSE'   +2 more
openaire   +4 more sources

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

Study of bi-f-harmonic curve along immersions

open access: yesMiskolc Mathematical Notes
In this paper, we characterize the bi-f-harmonic curve on surfaces and then we study the submanifold of a Riemannian manifold using the bi-f-harmonic curve.
Buddhadev Pal   +2 more
doaj   +1 more source

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