Let M be an m-dimensional manifold and A = Dr k/I = R⊕NA a Weil algebra of height r. We prove that any A-covelocity TA x f ∈ TA x M, x ∈ M is determined by its values over arbitrary max{widthA,m} regular and under the first jet projection linearly independent elements of TA x M. Further, we prove the rigidity of the so-called universally reparametrizable Weil algebras. Applying essentially those partial results we give the proof of the general rigidity result TA M ≃ T r M without coordinate computations, which improves and generalizes the partial result obtained in Tomáš (2009) from m > k to all cases of m. We also introduce the space JA(M,N) of A-jets and prove its rigidity in the sense of its coincidence with the classical jet space Jr(M,N)., Jiří Tomáš., and Seznam literatury
In this paper we compute injective, projective and flat dimensions of inverse polynomial modules as $R[x]$-modules. We also generalize Hom and Ext functors of inverse polynomial modules to any submonoid but we show Tor functor of inverse polynomial modules can be generalized only for a symmetric submonoid.
W. Blaschke and H. R. Müller [4, p. 142] have given the following theorem as a generalization of the classic Holditch Theorem: Let $E/E^{\prime }$ be a 1-parameter closed planar Euclidean motion with the rotation number $\nu $ and the period $T$. Under the motion $E/E^{\prime }$, let two points $A = (0, 0)$, $B = (a + b, 0) \in E$ trace the curves $k_A, k_B \subset E^{\prime }$ and let $F_A, F_B$ be their orbit areas, respectively. If $F_X$ is the orbit area of the orbit curve $k$ of the point $X = (a, 0)$ which is collinear with points $A$ and $B$ then \[ F_X = {[aF_B + bF_A] \over a + b} - \pi \nu a b. \] In this paper, under the 1-parameter closed planar homothetic motion with the homothetic scale $ h = h (t)$, the generalization given above by W. Blaschke and H. R. Müller is expressed and \[ F_X = {[aF_B + bF_A]\over a + b} - h^2 (t_0) \pi \nu a b, \] is obtained, where $\exists t_0 \in [0, T]$.
We studied the genetic architecture of the differences in the longevity between lines selected for postponed senescence and a control population of the seed beetle Acanthoscelides obtectus maintained on two hosts. By using lines with increased longevity, which were obtained by selection on natural variation in longevity, we showed that the genetic architecture of seed beetle longevity is complex, with sex-specific effects and variation attributable to many interacting genes, whose expression depend on the host on which the beetles were reared. The nonadditive genetic effects were more strongly expressed when reared on chickpeas, a novel host, than on beans. Outbreeding depression, with respect to longevity, was a consequence of both the intrinsic effect of interactions between genes from different parental sources (disruption of coadapted gene complexes) and the genotype × host interaction (loss of local adaptation).
a1_The infraspecific taxonomy of the European populations of the Large Blue (Maculinea arion) is confusing. Several subspecies have been described mostly based on external morphological features. In the Carpathian Basin two subspecies have been distinguished. Maculinea arion arion flies from mid-May to mid-June and Maculinea arion ligurica is on the wing from the end of June to mid-August. The two forms show some differentiation in habitat use, but occasionally can also share habitats with two peaks in the appearance of butterflies. Our aim was to study the level and structure of genetic variation in a set of populations of the two phenologically different M. arion. Imagos were collected from 8 localities between 2000 and 2006. Enzyme polymorphism was analysed at 13 enzyme loci using polyacrylamide gel electrophoresis. In the analysis of the data, we estimated the parameters of polymorphism. To study the pattern of genetic differentiation F-statistics, hierarchical F-statistics and AMOVA were computed. GeneClass and Structure were both applied to analyse the differentiation between the two phenologically different sets of populations. Cavalli-Sforza and Edwards' arc distances were calculated and a UPGMA dendrogram was constructed on the basis of the distance matrix. PCA analysis was also carried out using the allele frequencies of the individuals. The level of polymorphism was relatively high in M. arion. The results of all analyses indicated that the differences between the two sets of phenologically different populations accounted for a low percentage of the total differentiation. In addition, a sizeable amount of variation could be attributed to the differences among the samples collected from the same population in consecutive years. Thus, we concluded that the "spring" and "summer arion" could not be considered as separate ESUs, although we could attribute conservation value to both forms on the basis of, a2_their phenological differentiation and habitat use., and Judit Bereczki, János P. Tóth, Andrea Tóth, Edit Bátori, Katalin Pecsenye, Zoltán Varga.
A total of 39 Amiota species are found from the southern portion of Hengduan Mountains, southwestern China, including 12 new species: A. gaoi sp. n., A. gracilenta sp. n., A. multispinata sp. n., A. yifengi sp. n., A. angustifolia sp. n., A. bacillia sp. n., A. biacuta sp. n., A. cultella sp. n., A. deltoidea sp. n., A. pianmensis sp. n., A. setosa sp. n. and A. bifoliolata sp. n. A key to all the studied species from Hengduan Mountains is provided.
The genus Anthelephila Hope, 1833 and its type species, Anthelephila cyanea Hope, 1833, are redescribed. Based on examination of the type material, the following new synonymy is proposed, Anthelephila Hope, 1833 (= Formicoma Motschoulsky, 1845 syn. n.) and A. cyanea Hope, 1833 (= Notoxus caeruleus Thunberg, 1787 syn. n.). Five genus-group names are regarded as unjustified emendations and are placed as synonyms: Anthelephila Hope, 1833 (=Anthelephilus LaFerté-Sénectère, 1849; Formicosoma Motschoulsky, 1845; Myrmecosoma Mannerheim, 1846; Formicomus LaFerté-Sénectère, 1849; Orthauchen Krekich-Strassoldo, 1925 syn. n.). A lectotype is designated for Anthelephila cyanea Hope, 1833.
The genus Microplinthus Zherikhin, 1987 is revised. It is assigned to the tribe Aminyopini Voss, 1956, based on the female genitalia and the presence of appendiculate claws in one species. The following new species are described: M. parbatensis sp. n. (Central Nepal); M. kaligandaki sp. n. (Central Nepal); M. shiva sp. n. (India: Darjeeling); M. laurae sp. n. (India: Darjeeling; Sikkim; Central-western Nepal?). The genus is apparently the sister group to Falsanchonus Zherikhin, 1987. Mutual relationships among the nine species of Microplinthus are suggested based on a phylogenetic analysis.
The endemic Costa Rican genus Zurquilla Gauld, 1997, is transferred from the ichneumonid subfamily Tryphoninae (tribe Oedemopsini) to the Cryptinae (tribe Phygadeuontini) and synonymised with Nipponaetes Uchida, 1933. This decision is justified using morphological and molecular (28S D2-3 ribosomal DNA sequence) evidence. We briefly discuss the phylogenetic utility of characters that led to the type species of Zurquilla being described as a tryphonine and provide a host record that indicates that Nipponaetes is a parasitoid of spider egg sacs.
The species of Testudobracon Quicke from eastern China are revised with four species recognized, including three new species: (Testudobracon flavus sp. n., Testudobracon guangxinensis sp. n. and Testudobracon grandiventris sp. n.). The new species are fully described and illustrated. A key to species of this genus is also provided. The types and other specimens are deposited in the Collection of Parasitic Hymenoptera at the Zhejiang University, Hangzhou, China.