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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>3</Issue>
				<PubDate PubStatus="epublish">
					<Year>2012</Year>
					<Month>09</Month>
					<Day>15</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Identification of Riemannian foliations on the
tangent bundle via SODE structure</ArticleTitle><FirstPage>669</FirstPage>
			<LastPage>688</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>Abolghasem </FirstName>
					<LastName>Laleh</LastName>
					<Affiliation>Amirkabir University of Technology</Affiliation>
				</Author>
<Author>
					<FirstName>Morteza </FirstName>
					<LastName>Mir Mohamad Rezaii</LastName>
					<Affiliation>Amirkabir University of Technology</Affiliation>
				</Author>
<Author>
					<FirstName>Fateme </FirstName>
					<LastName>Ahangari</LastName>
					<Affiliation>Amirkabir University of Technology</Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2010</Year>
					<Month>12</Month>
					<Day>26</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[The geometry of a system of second order differential equations is the geometry of a semispray, which is a globally defined vector field on TM. The metrizability of a given semispray is of special importance. In this paper, the metric associated with the semispray S is applied in order to study some types of foliations on the tangent bundle which are compatible with SODE structure. Indeed, sufficient conditions for the metric associated with the semispray S are obtained to extend to a bundle-like metric for the lifted foliation on TM. Thus, the lifted foliation converts to a Riemanian foliation on the tangent space which is adapted to the SODE structure. Particularly, the metrizability property of the semispray S is applied in order to induce SODE structure on transversals. Finally, some equivalent conditions are presented for the transversals to be totally geodesic.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Bundle-like metric</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">SODE</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Semispray</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Metrizability</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Riemannian
Foliation</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>