Titlebook: Convex Functions and Optimization Methods on Riemannian Manifolds; Constantin Udri?te Book 1994 Springer Science+Business Media Dordrecht

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Biguanides

https://doi.org/10.34157/978-3-648-16940-7In this chapter we handle the convex functions on Riemannian manifolds to obtain mathematical information about submanifolds, harmonic maps, g-connected domains and dynamical systems.

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Metric Properties of Riemannian Manifolds,The Riemannian geometry is the natural frame for convexity.

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aesthetician

Convex Functions on Riemannian Manifolds,In this chapter we present, in a systematic manner, the basic concepts and theorems regarding the Riemannian convexity of real functions.

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補(bǔ)助

Flows, Convexity and Energies,The first goal of this chapter is to present some basic properties of the flows generated by vector fields on Riemannian manifolds (§1). Furthermore, the main properties of the gradient flow are pointed out separately (§2).

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Semidefinite Hessians and Applications,In this chapter we handle the convex functions on Riemannian manifolds to obtain mathematical information about submanifolds, harmonic maps, g-connected domains and dynamical systems.