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<p></p> <p><b>New page</b></p><div>{{unreferenced|date=August 2012}}<br /> In [[mathematics]], the &#039;&#039;&#039;flatness&#039;&#039;&#039; (symbol: &#039;&#039;&#039;⏥&#039;&#039;&#039;) of a [[surface]] is the degree to which it approximates a [[Plane (mathematics)|mathematical plane]]. The term is often generalized for higher-dimensional [[manifold]]s to describe the degree to which they approximate the [[Euclidean space]] of the same dimensionality. (See &#039;&#039;[[curvature]]&#039;&#039;.)<br /> <br /> &#039;&#039;&#039;Flatness&#039;&#039;&#039; in [[homological algebra]] and [[algebraic geometry]] means, of an object &lt;math&gt;A&lt;/math&gt; in an [[abelian category]], that &lt;math&gt;- \otimes A&lt;/math&gt; is an [[exact functor]]. See [[flat module]] or, for more generality, [[flat morphism]].<br /> <br /> [[Category:Geometry]]<br /> <br /> {{geometry-stub}}</div>

en>Dbachmann