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Inverse Mean Curvature Flow
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Details
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the field of differential geometry in mathematics, inverse mean curvature flow (IMCF) is an example of a geometric flow of hypersurfaces a Riemannian manifold (for example, smooth surfaces in 3-dimensional Euclidean space). Intuitively, a family of surfaces evolves under IMCF if the outward normal speed at which a point on the surface moves is given by the reciprocal of the mean curvature of the surface. For example, a round sphere evolves under IMCF by expanding outward uniformly at an exponentially growing rate (see below). In general, this flow does not exist (for example, if a point on the surface has zero mean curvature), and even if it does, it generally develops singularities. Nevertheless, it has recently been an important tool in differential geometry and mathematical problems in general relativity.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131242328
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131242328
- Format Fachbuch
- Titel Inverse Mean Curvature Flow
- Herausgeber Betascript Publishing
- Anzahl Seiten 100
- Genre Mathematik
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