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<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.6//EN" "http://www.ncbi.nlm.nih.gov/corehtml/query/static/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
				<PublisherName>Iranian Mathematical Society (IMS)</PublisherName>
				<JournalTitle>Bulletin of the Iranian Mathematical Society</JournalTitle>
				<Issn>1017-060X</Issn>
				<Volume>38</Volume>
				<Issue>2</Issue>
				<PubDate PubStatus="epublish">
					<Year>2011</Year>
					<Month>02</Month>
					<Day>23</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Recurrent metrics in the geometry of second order differential equations</ArticleTitle><FirstPage>391</FirstPage>
			<LastPage>401</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>Mircea </FirstName>
					<LastName>Crasmareanu</LastName>
					<Affiliation>Faculty of Mathematics
University "Al. I. Cuza"
Iasi, 700506</Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2011</Year>
					<Month>02</Month>
					<Day>09</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[Given a pair (semispray $S$, metric $g$) on a tangent bundle, the family of nonlinear connections $N$ such that $g$ is recurrent with respect to $(S, N)$ with a fixed recurrent factor is determined by using the Obata tensors. In particular, we obtain a characterization for a pair $(N, g)$ to be recurrent as well as for the triple $(S, stackrel{c}{N}, g)$ where $stackrel{c}{N}$ is the canonical nonlinear connection of the semispray $S$. Also, the Weyl connection of conformal gauge theories is obtained as a particular case.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Semispray</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">nonlinear connection</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">recurrent metric</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Obata operators</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>