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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
Measuring A Circle: A Math Lesson For Grades 5-10, Robert C. Moore
Measuring A Circle: A Math Lesson For Grades 5-10, Robert C. Moore
Faculty Publications
This article is designed to promote teaching methods that engage students in active learning and result in deep conceptual understanding by offering a sample lesson to help students (grades 5-10, ages 10-15) answer questions about and gain a deeper understanding of how to measure the circumference and area of a circle.
Riemannian Submersions And Lagrangian Isometric Immerson 1, Yun Myung Oh
Riemannian Submersions And Lagrangian Isometric Immerson 1, Yun Myung Oh
Faculty Publications
In [1], it has shown that if a Riemannian manifold admits a non- trivial Riemannian submersion with total geodesic fibers, then it cannot be isometrically immersed in any Riemannian manifold of non-positive sectional curvature as a minimal submanifold. In this paper, we consider a nontrivial Riemannian submersion and investigate some properties on Lagrangian iso- metric immersions using the submersion invariant.