{"id":2508,"date":"2021-04-01T01:00:59","date_gmt":"2021-04-01T05:00:59","guid":{"rendered":"http:\/\/brickisland.net\/DDGSpring2021\/?p=2508"},"modified":"2021-04-01T12:52:32","modified_gmt":"2021-04-01T16:52:32","slug":"lecture-13-smooth-surfaces-ii","status":"publish","type":"post","link":"https:\/\/brickisland.net\/DDGSpring2021\/2021\/04\/01\/lecture-13-smooth-surfaces-ii\/","title":{"rendered":"Lecture 13: Smooth Surfaces II"},"content":{"rendered":"<p><a href=\"https:\/\/www.youtube.com\/watch?v=FRvhgkGKfSM\"><img loading=\"lazy\" src=\"http:\/\/brickisland.net\/DDGSpring2021\/wp-content\/uploads\/2020\/03\/DDG_458_SP20_Lecture13_SmoothSurfacesII.jpg\" alt=\"\" width=\"512\" height=\"287.5\" \/><\/a><\/p>\n<p>In this lecture we continue our discussion of smooth surfaces, introducing some key concepts like the Gauss map and the area vector.  We&#8217;ll also sketch out how to finally talk about differential forms on curved surfaces, rather than in flat \\(\\mathbb{R}^n\\).<\/p>\n<ul>\n<li><a href=\"https:\/\/www.youtube.com\/watch?v=FRvhgkGKfSM\">Video<\/a><\/li>\n<li>Slides<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In this lecture we continue our discussion of smooth surfaces, introducing some key concepts like the Gauss map and the area vector. We&#8217;ll also sketch out how to finally talk about differential forms on curved surfaces, rather than in flat \\(\\mathbb{R}^n\\). Video Slides<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[7,3],"tags":[],"_links":{"self":[{"href":"https:\/\/brickisland.net\/DDGSpring2021\/wp-json\/wp\/v2\/posts\/2508"}],"collection":[{"href":"https:\/\/brickisland.net\/DDGSpring2021\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/brickisland.net\/DDGSpring2021\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2021\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2021\/wp-json\/wp\/v2\/comments?post=2508"}],"version-history":[{"count":5,"href":"https:\/\/brickisland.net\/DDGSpring2021\/wp-json\/wp\/v2\/posts\/2508\/revisions"}],"predecessor-version":[{"id":3278,"href":"https:\/\/brickisland.net\/DDGSpring2021\/wp-json\/wp\/v2\/posts\/2508\/revisions\/3278"}],"wp:attachment":[{"href":"https:\/\/brickisland.net\/DDGSpring2021\/wp-json\/wp\/v2\/media?parent=2508"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2021\/wp-json\/wp\/v2\/categories?post=2508"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2021\/wp-json\/wp\/v2\/tags?post=2508"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}