Geodesic Mappings of Semi-Riemannian Manifolds with a Degenerate Metric

This article introduces the concept of geodesic mappings of manifolds with idempotent pseudo-connections. The basic equations of canonical geodesic mappings of manifolds with completely idempotent pseudo-connectivity and semi-Riemannian manifolds with a degenerate metric are obtained. It is proved that semi-Riemannian manifolds admitting concircular fields admit completely canonical geodesic mappings and form a closed class with respect to these mappings.

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FURTHER CONSIDERATIONS ON THE CALCULATIONS OF SECRETION RATES. A CORRECTION

Acta Endocrinologica ◽

10.1530/acta.0.0380469 ◽

1961 ◽

Vol 38 (3) ◽

pp. 469-472 ◽

Cited By ~ 14

Author(s):

K. R. Laumas ◽

J. F. Tait ◽

S. A. S. Tait

Keyword(s):

Steady State ◽

Compartmental Model ◽

Single Injection ◽

Previous Treatment ◽

Urinary Metabolite ◽

Theoretical Treatment ◽

Basic Equations ◽

Special Circumstances ◽

Secretion Rates

ABSTRACT Reconsideration of the question of the validity of the calculations of the secretion rates from the specificity activity of a urinary metabolite after the single injection of a radioactive hormone has led us to conclude that the basic equations used in a previous theoretical treatment are not generally applicable to the nonisotopic steady state if the radioactive steroid and hormone are introduced into the same compartment. If this is so, in a two compartmental model with metabolism occurring in both pools, it is now shown that the calculation (S = R — τ) is rigorously valid if certain precautions are taken. This is in contrast to the previous treatment which concluded (in certain special circumstances) that the calculation might not be correct. However, if the hormone is secreted in both compartments and the radioactive steroid is injected into only one, then the calculation (S = R — τ) may not be correct in certain circumstances as was previously concluded (Laumas et al. 1961).

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Dynamic interpolation on Riemannian manifolds: an application to interferometric imaging

Proceedings of the 2004 American Control Conference ◽

10.23919/acc.2004.1383683 ◽

2004 ◽

Cited By ~ 6

Author(s):

I.I. Hussein ◽

A.M. Bloch

Keyword(s):

Riemannian Manifolds ◽

Interferometric Imaging

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On Ricci Riemannian Manifolds

Annals of the Alexandru Ioan Cuza University - Mathematics ◽

10.2478/v10157-010-0031-7 ◽

2010 ◽

Vol 0 (-1) ◽

pp. 437-446 ◽

Cited By ~ 1

Author(s):

S. K. Saha

Keyword(s):

Riemannian Manifolds

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STRESS AND DEFLECTION ANALYSES OF SHALLOW SHELLS WITH VARIABLE THICKNESS : Derivation and verification of basic equations

Journal of Structural and Construction Engineering (Transactions of AIJ) ◽

10.3130/aijs.64.79_2 ◽

1999 ◽

Vol 64 (519) ◽

pp. 79-86

Author(s):

Satoshi TAKI

Keyword(s):

Variable Thickness ◽

Shallow Shells ◽

Basic Equations

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Stresses in horizontal cylindrical pressure vessels supported on twin saddles: a derivation of the basic equations and constants used in G.3.3 of BS 5500:1982

10.3403/00135332u ◽

2015 ◽

Keyword(s):

Pressure Vessels ◽

Basic Equations

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On the equicontinuity of families of inverse mappings of Riemannian manifolds

Ukrainian Mathematical Bulletin ◽

10.37069/1810-3200-2019-16-4-7 ◽

2019 ◽

Vol 16 (4) ◽

pp. 557-566

Author(s):

Denis Ilyutko ◽

Evgenii Sevost'yanov

Keyword(s):

Riemannian Manifolds ◽

Type Inequality ◽

The Given ◽

Range Of Values

We study homeomorphisms of Riemannian manifolds with unbounded characteristic such that the inverse mappings satisfy the Poletsky-type inequality. It is established that their families are equicontinuous if the function Q which is related to the Poletsky inequality and is responsible for a distortion of the modulus, is integrable in the given domain, here the original manifold is connected and the domain of definition and the range of values of mappings have compact closures.

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Adjuncts as a diagnostic of polysynthetic word formation in Inuit

10.1093/oso/9780198778264.003.0013 ◽

2017 ◽

Author(s):

Richard Compton

Keyword(s):

Head Movement ◽

Word Formation ◽

Diagnostic Device ◽

Closed Class ◽

Variable Ordering ◽

Mirror Principle

This chapter examines polysynthetic word formation in Inuit (Eskimo-Aleut), using the presence and variable ordering of a closed class of adverbs within verbal complexes as a diagnostic device to evaluate the adequacy of different accounts of word formation. It is argued that a head movement account of Mirror Principle orders within Inuit words undergenerates with respect to the observed variation in adverb ordering, particularly if a fixed hierarchy of adverbial functional projections is assumed, as in Cinque (1999). Instead, it is shown that an analysis that employs a right-headed structure, XP-sized phasal words, and Ernst’s (2002) semantically based framework of adverb licensing better captures the observed variation.

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