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	Math Help Forum > University Math Help > Analysis, Topology and Differential Geometry differential geometry User Name Save? Password Register Forum Rules FAQ Donate Members List Arcade Download MHF Flyer Search Today's Posts Mark Forums Read   Thread Tools Display Modes   #1   December 3rd, 2008, 08:25 PM dori1123 Member   Join Date: Sep 2008 Posts: 126 Country: Thanks: 4 Thanked 0 Times in 0 Posts differential geometry Why a sphere is not pairwise locally isometric? Can someone help? Thank you. Advertisement     #2   December 4th, 2008, 03:45 AM Opalg MHF Contributor   Join Date: Aug 2007 Location: Leeds, UK Posts: 2,003 Country: Thanks: 122 Thanked 1,217 Times in 1,010 Posts Quote: Originally Posted by dori1123 Why a sphere is not pairwise locally isometric? Can someone help? Thank you. Huh? A sphere can't be pairwise locally isometric all on its own. It has to be pairwise locally isometric (or not) to something else.   #3   June 3rd, 2009, 11:51 AM Rebesques Senior Member   Join Date: Jul 2005 Location: At my house. Posts: 396 Thanks: 30 Thanked 49 Times in 44 Posts I'd guess... to the plane. Compare their first fundamental forms, or their Gaussian curvature even. __________________ Never leave home without some Latex in your back pocket. Last edited by Rebesques; June 9th, 2009 at 09:05 AM. « Quantum Calculus | Top | differential geometry » Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off Trackbacks are Off Pingbacks are Off Refbacks are Off Forum Jump User Control Panel Private Messages Subscriptions Who's Online Search Forums Forums Home Pre-University Math Help     Pre-Algebra and Algebra     Geometry     Trigonometry     Pre-Calculus     Basic Statistics and Probability     Other topics University Math Help     Calculus     Analysis, Topology and Differential Geometry     Linear and Abstract Algebra     Number theory     Discrete Mathematics, Set Theory and Logic     Advanced Probability and Statistics     Advanced Applied Math     Differential Equations     Business Math     Other Advanced Topics Math Resources     LaTex Help     Mathematics Software Discussion     Calculator Discussion     Useful Math Websites     Mathematics News MHF Lounge     Chat Room         Live Chat     Problem of the Week     Pre-prints and other original work     Formal Debates         Proposals Challenges and Puzzles     Puzzles     Math Challenge Problems MHF Feedback and Announcements Forum     Question, Feedback and Comments     Announcements Our Other "Help Forums"     Physics Help Forum     Chemistry Help Forum All times are GMT -7. The time now is 10:26 PM. Contact Us - Math Help - Archive - Top Powered by vBulletin® Version 3.7.3 Copyright ©2000 - 2009, Jelsoft Enterprises Ltd. SEO by vBSEO 3.2.0 ©2008, Crawlability, Inc. ©2005 - 2009 Math Help Forum

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