Multiple points of codimension one immersions

1980 ◽  
pp. 23-38 ◽  
Author(s):  
Peter John Eccles
Keyword(s):  
Multiple Points ◽  
Codimension One

Multiple points of codimension one immersions of oriented manifolds

1980 ◽  
Vol 87 (2) ◽  
pp. 213-220 ◽  
Author(s):  
Peter John Eccles
Keyword(s):  
The Self ◽  
Multiple Points ◽  
Codimension One ◽  
Bordism Group ◽  
Generic Immersion ◽  
Image Position

Work by L.S.Pontrjagin(18) and M.W.Hirsch(7) allows us to identify the stablen-stemwith the bordism group of oriented compact closed smoothn-manifolds immersed in ℝn+1. In a recent paper (11), U. Koschorke discusses invariants thereby defined onby analysing the self-intersections of immersed manifolds. In particular he discusses the homomorphismdefined by assigning to a generic immersionMn→ ℝn+1number (modulo 2) of its (n+ 1)-fold points.

New generalized 2D Ostrowski type inequalities on time scales with k2 points using a parameter

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3155-3169 ◽  
Author(s):  
Seth Kermausuor ◽  
Eze Nwaeze
Keyword(s):  
Numerical Analysis ◽  
Time Scales ◽  
Type Inequality ◽  
Dimensional Case ◽  
Multiple Points ◽  
Quantum Calculus ◽  
Independent Variables ◽  
Ostrowski Type Inequality ◽  
Two Independent Variables

Recently, a new Ostrowski type inequality on time scales for k points was proved in [G. Xu, Z. B. Fang: A Generalization of Ostrowski type inequality on time scales with k points. Journal of Mathematical Inequalities (2017), 11(1):41-48]. In this article, we extend this result to the 2-dimensional case. Besides extension, our results also generalize the three main results of Meng and Feng in the paper [Generalized Ostrowski type inequalities for multiple points on time scales involving functions of two independent variables. Journal of Inequalities and Applications (2012), 2012:74]. In addition, we apply some of our theorems to the continuous, discrete, and quantum calculus to obtain more interesting results in this direction. We hope that results obtained in this paper would find their place in approximation and numerical analysis.

On submersions of the complex indicatrix

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5081-5092
Author(s):  
Elena Popovicia
Keyword(s):  
Fixed Point ◽  
Complex Projective Space ◽  
Finsler Space ◽  
Hermitian Manifold ◽  
Almost Hermitian Manifold ◽  
Codimension One ◽  
Real Submanifold ◽  
Fundamental Equations ◽  
Complex Projective ◽  
Extrinsic Sphere

In this paper we study the complex indicatrix associated to a complex Finsler space as an embedded CR - hypersurface of the holomorphic tangent bundle, considered in a fixed point. Following the study of CR - submanifolds of a K?hler manifold, there are investigated some properties of the complex indicatrix as a real submanifold of codimension one, using the submanifold formulae and the fundamental equations. As a result, the complex indicatrix is an extrinsic sphere of the holomorphic tangent space in each fibre of a complex Finsler bundle. Also, submersions from the complex indicatrix onto an almost Hermitian manifold and some properties that can occur on them are studied. As application, an explicit submersion onto the complex projective space is provided.

Matter and the Soul

2018 ◽  
Author(s):  
Sarah Parkhouse
Keyword(s):  
Post Mortem ◽  
Multiple Points

The theme of eschatology is not usually identified by exegetes as particularly emphasized in the Gospel of Mary, though it should be. The two primary teachings, the dialogue between the Saviour and his disciples and Mary’s recollection of her vision, are predominantly eschatological in nature, the former being concerned with the earthly realm and the latter the heavenly. The earthly realm is the created cosmos made of ‘matter’, destined for dissolution owing to its inherent instability, whereas the heavenly is the home of the ‘Soul’, the goal of its perilous post-mortem journey past hostile spiritual powers that seek to bar its way. Despite obvious differences with the Olivet Discourse of Matthew 24 and parallels, there are multiple points of convergence with the eschatological teachings within the canonical gospels. Starting from the Gospel of Mary, this chapter explores connections between eschatological thinking on both sides of the canonical boundary.

scholarly journals Affine cones over cubic surfaces are flexible in codimension one

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Alexander Perepechko
Keyword(s):  
Automorphism Group ◽  
Open Subset ◽  
Pezzo Surface ◽  
Ample Divisor ◽  
Transitive Action ◽  
Del Pezzo Surface ◽  
Codimension One ◽  
Cubic Surfaces ◽  
Special Automorphism ◽  
Del Pezzo

AbstractLet Y be a smooth del Pezzo surface of degree 3 polarized by a very ample divisor that is not proportional to the anticanonical one. Then the affine cone over Y is flexible in codimension one. Equivalently, such a cone has an open subset with an infinitely transitive action of the special automorphism group on it.

Weierstrass multiple points and ramification points of smooth projective curves

1998 ◽  
Vol 174 (1) ◽  
pp. 241-251
Author(s):  
E. Ballico ◽  
C. Keem ◽  
S. J. Kim
Keyword(s):  
Multiple Points ◽  
Projective Curves ◽  
Ramification Points
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