Saddle Surfaces
A metric geometry approach
Εκδότης:
Ευρασία
Έτος:
2021
ISBN:
9786185439415
Σελίδες:
123
Εξώφυλλο:
Μαλακό
Τιμή εκδότη:€15,00
Η τιμή μας: €13,50
Saddle Surfaces
The class of saddle surfaces is dual to the class of convex surfaces. A surface in a Euclidean space is saddle if it is
impossible to cut off a crust by any hyperplane. Historically, saddle surfaces are connected with the Plateau problem.
In this book we extend the idea of a saddle surface to geodesically connected metric spaces and we study the class
of saddle surfaces in spaces of curvature bounded from above in the sense of A.D. Aleksandrov. Metric spaces of
bounded curvature inherit basic properties of Riemannian spaces while they may have strong topological and metric singularities.
For convenience we first review the basic theory of metric spaces of curvature bounded from above in the sense of Aleksandrov. Then we provide a source of examples and we classify several properties of saddle surfaces including completeness and compactness theorems, optimization problems, isoperimetric inequalities and issues about their intrinsic curvature. Stronger results are presented in spaces of constant curvature.
The class of saddle surfaces is dual to the class of convex surfaces. A surface in a Euclidean space is saddle if it is
impossible to cut off a crust by any hyperplane. Historically, saddle surfaces are connected with the Plateau problem.
In this book we extend the idea of a saddle surface to geodesically connected metric spaces and we study the class
of saddle surfaces in spaces of curvature bounded from above in the sense of A.D. Aleksandrov. Metric spaces of
bounded curvature inherit basic properties of Riemannian spaces while they may have strong topological and metric singularities.
For convenience we first review the basic theory of metric spaces of curvature bounded from above in the sense of Aleksandrov. Then we provide a source of examples and we classify several properties of saddle surfaces including completeness and compactness theorems, optimization problems, isoperimetric inequalities and issues about their intrinsic curvature. Stronger results are presented in spaces of constant curvature.
| Τίτλος βιβλίου: | Saddle Surfaces | ||
|---|---|---|---|
| Υπότιτλος βιβλίου: | A metric geometry approach | ||
| Εκδότης: | Ευρασία | ||
| Συντελεστές βιβλίου: | Καλυκάκης Δημήτριος (Συγγραφέας) | ||
| ISBN: | 9786185439415 | Εξώφυλλο βιβλίου: | Μαλακό |
| Στοιχεία έκδοσης: | Μάιος 2021 | Διαστάσεις: | 24x17 |
| Κατηγορίες: | Επιστήμες > Θετικές > Μαθηματικά | ||
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