{"id":5163,"date":"2013-01-21T13:45:02","date_gmt":"2013-01-21T10:45:02","guid":{"rendered":"https:\/\/editura-unibuc.ro\/?p=5163"},"modified":"2025-08-07T09:44:37","modified_gmt":"2025-08-07T06:44:37","slug":"modern-topics-in-submanifold-theory","status":"publish","type":"product","link":"https:\/\/editura-unibuc.ro\/en\/modern-topics-in-submanifold-theory\/","title":{"rendered":"MODERN TOPICS IN SUBMANIFOLD THEORY"},"content":{"rendered":"<p>The present book deals with the theory of Chen invariants, a very modern topic in Submanifold Theory, initiated in 1993 by Prof. B. Y. Chen. He translates some problems of the world into mathematical problems.<br \/>\nAlmost everyone desires to live in a \u201cbest world\u201d without tension from the surrounding space. By a \u201cbest world\u201d we mean \u201ca surrounding space which has the highest degree of homogeneity at every point\u201d. The question is whether \u201cto live in a best world without tension\u201d is a real possibility.<br \/>\nThis monograph could be a graduate course for Master students and Ph. D. students in Differential Geometry. It introduces them in a new and interesting research topic: relationships between intrinsic invariants and extrinsic invariants of submanifolds, via Chen invariants, and answers to basic problems in Submanifold Theory. Also, it is useful to professors and researches in Differential Geometry and Submanifold Theory, as well as to physicists and applied mathematicians, by the applications of Chen inariants in other branches of Mathematics and other sciences.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The present book deals with the theory of Chen invariants, a very modern topic in Submanifold Theory, initiated in 1993 by Prof. B. Y. Chen. He translates some problems of the world into mathematical problems. Almost everyone desires to live in a \u201cbest world\u201d without tension from the surrounding space. By a \u201cbest world\u201d we [&hellip;]<\/p>\n","protected":false},"featured_media":8916,"comment_status":"open","ping_status":"closed","template":"","meta":[],"product_brand":[],"product_cat":[982,986],"product_tag":[898],"class_list":{"0":"post-5163","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-stiinte-exacte","7":"product_cat-matematica","8":"product_tag-matematica","10":"first","11":"outofstock","12":"shipping-taxable","13":"purchasable","14":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/product\/5163","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/types\/product"}],"replies":[{"embeddable":true,"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/comments?post=5163"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/media\/8916"}],"wp:attachment":[{"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/media?parent=5163"}],"wp:term":[{"taxonomy":"product_brand","embeddable":true,"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/product_brand?post=5163"},{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/product_cat?post=5163"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/editura-unibuc.ro\/en\/wp-json\/wp\/v2\/product_tag?post=5163"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}