<?xml version="1.0" encoding="UTF-8"?><rss xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:atom="http://www.w3.org/2005/Atom" version="2.0"><channel><title><![CDATA[RSS Feed]]></title><description><![CDATA[RSS Feed]]></description><link>http://direct.ecency.com</link><image><url>http://direct.ecency.com/logo512.png</url><title>RSS Feed</title><link>http://direct.ecency.com</link></image><generator>RSS for Node</generator><lastBuildDate>Fri, 22 May 2026 11:54:00 GMT</lastBuildDate><atom:link href="http://direct.ecency.com/created/riemann-geometry/rss.xml" rel="self" type="application/rss+xml"/><item><title><![CDATA[[math, computation]Riemannian geometry- meaning of affine connection]]></title><description><![CDATA[Continuing on previous posts on affine connection, In this posting we will cover why we called above connection as affine connection. First review, affine connection satisfies In a coordinate basis, affine]]></description><link>http://direct.ecency.com/math/@beoped/math-computation-riemannian-geometry-meaning-of-affine-connection</link><guid isPermaLink="true">http://direct.ecency.com/math/@beoped/math-computation-riemannian-geometry-meaning-of-affine-connection</guid><category><![CDATA[math]]></category><dc:creator><![CDATA[beoped]]></dc:creator><pubDate>Fri, 20 Oct 2017 13:58:24 GMT</pubDate><enclosure url="https://i.ecency.com/p/2gsjgna1uruvUuS7ndh9YqVwYGPLVszbFLwwpAYXYgeMwFpBaAJFot5EZ2kynKydhyW1su3nUrNPMFH4R5EP2m4xu9VryYwogTDm8rM5G4FXuTQr6i?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[[math, computation]Riemannian geometry - transformation of connection]]></title><description><![CDATA[In this posting, we will derive some transformation law of connection. Thus see that this connection is not tensor but its anti-symmetrized transforms as a tensor. In this posting, we will not directly]]></description><link>http://direct.ecency.com/math/@beoped/math-computation-riemannian-geometry-transformation-of-connection</link><guid isPermaLink="true">http://direct.ecency.com/math/@beoped/math-computation-riemannian-geometry-transformation-of-connection</guid><category><![CDATA[math]]></category><dc:creator><![CDATA[beoped]]></dc:creator><pubDate>Fri, 20 Oct 2017 13:31:21 GMT</pubDate><enclosure url="https://i.ecency.com/p/2gsjgna1uruvUuS7ndh9YqVwYGPLVszbFLwwpAYXYgeMwFpBaAJFot5EZ2kynKydhyW1su3nUrNPMFH4R5EP2m4xu9VryYwogTDm8rM5G4FXuTQr6i?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[[math , computation] Riemannian geometry -variation and its application// Low-energy effective action - part 2]]></title><description><![CDATA[In the last posting, we derive some equations. Using these results as an exercise let's compute the equation of motion of low-energy effective action of string theory. The equations of motion are following]]></description><link>http://direct.ecency.com/math/@beoped/math-computation-riemannian-geometry-variation-and-its-application-low-energy-effective-action-part-2</link><guid isPermaLink="true">http://direct.ecency.com/math/@beoped/math-computation-riemannian-geometry-variation-and-its-application-low-energy-effective-action-part-2</guid><category><![CDATA[math]]></category><dc:creator><![CDATA[beoped]]></dc:creator><pubDate>Mon, 25 Sep 2017 23:08:12 GMT</pubDate><enclosure url="https://i.ecency.com/p/2gsjgna1uruvUuS7ndh9YqVwYGPLVszbFLwwpAYXYgeMwFpBaAJFot5EZ2kynKydhyW1su3nUrNPMFH4R5EP2m4xu9VryYwogTDm8rM5G4FXuTQr6i?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[[math , computation] Riemannian geometry -variation and its application// Low-energy effective action - part 1]]></title><description><![CDATA[In my previous posts, I have been writing posts about Riemann geometry. Today I want to talk about variation in Riemannian geometry and further take one exercise, obtaining equation of motion of Low-energy]]></description><link>http://direct.ecency.com/math/@beoped/math-computation-riemannian-geometry-variation-and-its-application-low-energy-effective-action-part-1</link><guid isPermaLink="true">http://direct.ecency.com/math/@beoped/math-computation-riemannian-geometry-variation-and-its-application-low-energy-effective-action-part-1</guid><category><![CDATA[math]]></category><dc:creator><![CDATA[beoped]]></dc:creator><pubDate>Mon, 25 Sep 2017 05:11:06 GMT</pubDate><enclosure url="https://i.ecency.com/p/2gsjgna1uruvUuS7ndh9YqVwYGPLVszbFLwwpAYXZoUJeogaHN3HWF57nnnKm15H45Z8t4PHuCnhf1T1LCmsfjAfUEdUKj3s1vXNugGt3NqxwWauxi?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[[math,computation] Riemann geometry: Ricci curvature written in metric explicitly]]></title><description><![CDATA[In my previous posting on Riemann geometry [math,computation] Riemann geometry: Ricci scalar written in metric explicitly we express Ricci scalar in terms of metric only. In this post we will express Ricci]]></description><link>http://direct.ecency.com/math/@beoped/math-computation-riemann-geometry-ricci-curvature-written-in-metric-explicitly</link><guid isPermaLink="true">http://direct.ecency.com/math/@beoped/math-computation-riemann-geometry-ricci-curvature-written-in-metric-explicitly</guid><category><![CDATA[math]]></category><dc:creator><![CDATA[beoped]]></dc:creator><pubDate>Tue, 12 Sep 2017 23:46:03 GMT</pubDate><enclosure url="https://i.ecency.com/p/2gsjgna1uruvUuS7ndh9YqVwYGPLVszbFLwwpAYXYgeMwFpBaAJFot5EZ2kynKydhyW1su3nUrNPMFH4R5EP2m4xu9VryYwogTDm8rM5G4FXuTQr6i?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[[math,computation] Riemann geometry: Ricci scalar written in metric explicitly]]></title><description><![CDATA[This is a English version of my former post The purpose of this posting is to express Ricci scalar in terms of metric only. i.e., derive Convention Define Covariant derivative as follows Under this convention]]></description><link>http://direct.ecency.com/math/@beoped/math-computation-riemann-scalar-written-in-metric</link><guid isPermaLink="true">http://direct.ecency.com/math/@beoped/math-computation-riemann-scalar-written-in-metric</guid><category><![CDATA[math]]></category><dc:creator><![CDATA[beoped]]></dc:creator><pubDate>Wed, 23 Aug 2017 05:16:00 GMT</pubDate><enclosure url="https://i.ecency.com/p/2gsjgna1uruvUuS7ndh9YqVwYGPLVszbFLwwpAYXYgeMwFpBaAJFot5EZ2kynKydhyW1su3nUrNPMFH4R5EP2m4xu9VryYwogTDm8rM5G4FXuTQr6i?format=match&amp;mode=fit" length="0" type="false"/></item></channel></rss>