The large genus limit of the infimum of the Willmore energy

2010 ◽  
Vol 132 (1) ◽  
pp. 37-51 ◽  
Author(s):  
Ernst Kuwert ◽  
Yuxiang Li ◽  
Reiner Schätzle
Keyword(s):  
Phytotaxa ◽  
2018 ◽  
Vol 350 (2) ◽  
pp. 182 ◽  
Author(s):  
KAI QIAN ◽  
XING-FENG BI ◽  
LEI SHU ◽  
RUI-LIANG ZHU

Porella is a large genus with 86 currently accepted species. China is its center of diversity. Two narrowly distributed taxa, Porella densifolia var. robusta and P. longifolia are excluded from the liverwort flora of China because vouchered specimens are assignable to other species. The illustrations of Porella densifolia var. densifolia and P. acutifolia var. acutifolia based on Chinese plants are provided. Porella longifolia is thus far known only from Sumatra, Indonesia.


2020 ◽  
pp. 132812
Author(s):  
Masaaki Uesaka ◽  
Ken-Ichi Nakamura ◽  
Keiichi Ueda ◽  
Masaharu Nagayama

Author(s):  
Lynn Heller ◽  
Sebastian Heller ◽  
Cheikh Birahim Ndiaye

AbstractWe show that the homogeneous and the 2-lobe Delaunay tori in the 3-sphere provide the only isothermic constrained Willmore tori in 3-space with Willmore energy below $$8\pi $$ 8 π . In particular, every constrained Willmore torus with Willmore energy below $$8\pi $$ 8 π and non-rectangular conformal class is non-degenerated.


1996 ◽  
Vol 36 (3) ◽  
pp. 379 ◽  
Author(s):  
DC Joyce ◽  
P Beal ◽  
AJ Shorter

Grevillea is a large genus containing many species, forms and hybrids bearing inflorescences with desirable cut flower characteristics. Nineteen different Grevillea spp. and forms (7), and 39 hybrids (including 11 repeat collections) were assessed for vase life. Longevity varied 3-fold, from 3 days for G. wickhamii to 9 days for a G. whiteana accession. Species with comparatively long vase lives included G. pteridifolia, G. sessilis and G. whiteana. These genotypes may be useful for cut flower production and/or in breeding programs aimed at producing new cut flower Grevillea.


2018 ◽  
Vol 31 (4) ◽  
pp. 1059-1163 ◽  
Author(s):  
Dawei Chen ◽  
Martin Möller ◽  
Don Zagier
Keyword(s):  

Zootaxa ◽  
2018 ◽  
Vol 4527 (2) ◽  
pp. 292
Author(s):  
RODRIGO O. ARAUJO

Mesochorinae is a widely distributed subfamily of ichneumonid wasps with approximately 900 described species (Yu et al., 2012), of which almost 90% belong to the cosmopolitan genus Mesochorus Gravenhorst (Broad et al., 2018). Since it is a very large genus, it has become a group of complex taxonomy and with numerous taxonomic conflicts (Araujo et al., 2018). Recent efforts were made aiming to resolve nomenclature problems present within Mesochorus (see Araujo & Vivallo, 2015; Kittel, 2016; Araujo et al. 2018). Specifically, Araujo & Vivallo (2015) and Araujo et al. (2018) proposed a total of 19 replacement names, of which two became primary homonyms of existing names (listed below) and seven were invalid, as Kittel (2016) and, in one case, Schwenke (2002), had previously proposed respective replacement names. Furthermore, Araujo et al. (2018) published an identification key for the World genera of Mesochorinae which includes Incurvarion Kasparyan. However, this genus was implicitly synonymized with Neurogenia Roman (Ctenopelmatinae: Perilissini) when Reshchikov et al. (2014) transferred the type (and only included) species, I. gorochovi Kasparyan, to Neurogenia. To resolve the taxonomic conflicts that remain within the subfamily Mesochorinae, seven new synonymies and two replacement names are proposed herein, together with a corrigendum for the identification key proposed by Araujo et al. (2018). 


1934 ◽  
Vol 11 (2) ◽  
pp. 213-241 ◽  
Author(s):  
A. W. S. Hunter

The history and the present state of the classification of the Gramineae are briefly reviewed and a number of the different characteristics on which phylogenetic systems have been based are considered. The subjects of chromosome morphology and the application of idiograms and karyotypes to taxonomic studies are discussed. Avdulov's recently reported findings on the phylogeny of the grasses are summarized and compared with the results of other workers and those obtained in the present investigation. Three species of bamboos were studied for the first time and evidence secured to indicate that the basic number of the tribe is probably not 12 as has been elsewhere reported. In the Festuceae the chromosome number of Phragmites communis Trin. was definitely ascertained, confirming Avdulov's supposition that the basic number for the genus is 12. The other three species investigated agreed with the arrangement as proposed by Avdulov. The tribe Chlorideae, with the exception of the genus Beckmannia, has been reported to be almost entirely Panicoid with respect to chromosome morphology. This was confirmed in the four species examined. Avdulov's rearrangement of the tribe Hordeae was somewhat altered and a confusion m the nomenclature of the genus Lepturus was corrected. An anomalous situation was cleared up in the tribe Agrostideae by the establishment of the chromosome number of Sporobolus tennuissinus Kuntz as 40. The specimen of Anthoxanthum odoratum L. (tribe Phalarideae) examined provided a very interesting example of secondary splitting in somatic chromosomes. One species was examined in the tribe Melinideae and six in the tribe Paniceae. In the latter tribe no difference could be detected between the several subdivisions of the genus Panicum. The same condition held for the large genus Andropogon in the tribe Andropogoneae. In the tribe Maydeae the chromosome number of Tripsacum dactyloides L. was found to be 9, and the suggestion was made that it may be a link, along with the genus Coix, between the Andropogoneae and the Maydeae. The other four species examined all had a basic number of 10.


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