Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Morse Theory of Gradient Flows, Concavity and Complexity on Manifolds with Boundary

Morse Theory of Gradient Flows, Concavity and Complexity on Manifolds with Boundary

Katz, Gabriel

Hardcover

General MathematicsGeometry

ISBN10: 981436875X
ISBN13: 9789814368759
Publisher: World Scientific Publishing Company
Published: Aug 30 2019
Pages: 516
Weight: 1.88
Height: 1.13 Width: 6.00 Depth: 9.00
Language: English

This monograph is an account of the author's investigations of gradient vector flows on compact manifolds with boundary. Many mathematical structures and constructions in the book fit comfortably in the framework of Morse Theory and, more generally, of the Singularity Theory of smooth maps.

The geometric and combinatorial structures, arising from the interactions of vector flows with the boundary of the manifold, are surprisingly rich. This geometric setting leads organically to many encounters with Singularity Theory, Combinatorics, Differential Topology, Differential Geometry, Dynamical Systems, and especially with the boundary value problems for ordinary differential equations. This diversity of connections animates the book and is the main motivation behind it.

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