scholarly journals Forms representing forms: the definite case

2015 ◽  
Vol 92 (2) ◽  
pp. 393-410 ◽  
Author(s):  
Julia Brandes
Keyword(s):  
2013 ◽  
Vol 94 (108) ◽  
pp. 55-65 ◽  
Author(s):  
Graham Hall

This note investigates the possibility of converses of the Weyl theorems that two conformally related metrics on a manifold have the same Weyl conformal tensor and that two projectively related connections on a manifold have the same Weyl projective tensor. It shows that, in all relevant cases, counterexamples to each of Weyl?s theorems exist except for his conformal theorem in the 4-dimensional, positive definite case, where the converse actually holds. This (conformal) 4-dimensional problem is then solved completely for the other possible signatures.


2013 ◽  
Vol 52 (1) ◽  
pp. 97-100 ◽  
Author(s):  
Kenichiro Kudo ◽  
Eiki Ichihara ◽  
Akiko Hisamoto ◽  
Katsuyuki Hotta ◽  
Nobuaki Miyahara ◽  
...  
Keyword(s):  

1933 ◽  
Vol os-4 (1) ◽  
pp. 1-11
Author(s):  
T. W. CHAUNDY
Keyword(s):  

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 213
Author(s):  
Herbert Dueñas Ruiz ◽  
Francisco Marcellán ◽  
Alejandro Molano

In this paper, we study a classification of symmetric ( 1 , 1 ) -coherent pairs by using a symmetrization process. In particular, the positive-definite case is carefully described.


2000 ◽  
Vol 38 (10) ◽  
pp. 3612-3618 ◽  
Author(s):  
Michael J. James ◽  
Brent A. Lasker ◽  
Michael M. McNeil ◽  
Mark Shelton ◽  
David W. Warnock ◽  
...  

Aspergillus flavus is second to A. fumigatus as a cause of invasive aspergillosis, but no standard method exists for molecular typing of strains from human sources. A repetitive DNA sequence cloned from A. flavus and subcloned into a pUC19 vector, pAF28, was used to type 18 isolates from diverse clinical, environmental, and geographic sources. The restriction fragment length polymorphisms generated with EcoRI- orPstI-digested genomic DNA and probed with digoxigenin-labeled pAF28 revealed complete concordance between patterns. Eighteen distinct fingerprints were observed. The probe was used to investigate two cases of cutaneous A. flavusinfection in low-birth-weight infants in a neonatal intensive care unit (NICU). Both infants were transported by the same ambulance and crew to the NICU on the same day. A. flavus strains of the same genotype were isolated from both infants, from a roll of tape used to fasten their umbilical catheters, from a canvas bag used to store the tape in the ambulance, and from the tape tray in the ambulance isolette. These cases highlight the need to consider exposures in critically ill neonates that might occur during their transport to the NICU and for stringent infection control practices. The hybridization profiles of strains from a second cluster of invasive A. flavus infections in two pediatric hematology-oncology patients revealed a genotype common to strains from a definite case patient and a health care worker. A probable case patient was infected with a strain with a genotype different from that of the strain from the definite case patient but highly related to that of an environmental isolate. The high degree of discrimination and reproducibility obtained with the pAF28 probe underscores its utility for typing clinical and environmental isolates of A. flavus.


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