8 edition of **Generalized curvatures** found in the catalog.

- 105 Want to read
- 17 Currently reading

Published
**2008**
by Springer in Berlin
.

Written in English

- Convex geometry,
- Discrete geometry,
- Curvature

**Edition Notes**

Includes bibliographical references (p. 261-264) and index.

Statement | Jean-Marie Morvan. |

Series | Geometry and computing -- 2 |

Classifications | |
---|---|

LC Classifications | QA639.5 .M66 2008 |

The Physical Object | |

Pagination | xi, 266 p. : |

Number of Pages | 266 |

ID Numbers | |

Open Library | OL22507513M |

ISBN 10 | 9783540737919, 9783540737926 |

LC Control Number | 2008923176 |

Generalized motion of level sets by functions of their curvatures on Riemannian manifolds The function F does not generally admit any continuous extension to Rn × n2 but, if it is bounded near {p =0}(this is the case of the mean curvature evolution equation), one canshow that there is a unique viscosity solution to () with initial datum u(0,x) =g(x)(for. In mathematics, particularly in differential geometry, an osculating plane is a plane in a Euclidean space or affine space which meets a submanifold at a point in such a way as to have a second order of contact at the point. The word osculate is from the Latin osculatus which is a past participle of osculari, meaning to osculating plane is thus a plane which "kisses" a submanifold.

In this paper we give a new proof for two sharp inequalities involving generalized normalized δ-Casorati curvatures of a slant submanifold in a quaternionic space form. These inequalities were recently obtained in Lee and Vîlcu (Taiwan. J. Math. 19(3), ) using an optimization procedure by showing that a quadratic polynomial in the components of the second fundamental form is. In this paper, we prove some optimal inequalities involving the intrinsic scalar curvature and the extrinsic Casorati curvature of submanifolds in a generalized complex space form with a semi-symmetric non-metric connection and a generalized Sasakian space form with a semi-symmetric non-metric connection. Moreover, we show that in both cases, the equalities hold if and only if submanifolds are.

GENERALIZED MOTION OF LEVEL SETS BY FUNCTIONS OF THEIR CURVATURES ON RIEMANNIAN MANIFOLDS D. AZAGRA, M. JIMENEZ-SEVILLA, F. MACI A Abstract. We consider the generalized evolution of compact level sets by functions of their normal vectors and second fundamental forms on a Rie-mannian manifold M. The level sets of a function u: M! R evolve in. The aim of the study was to assess the change of sagittal spinal curvatures in children with generalized joint hypermobility (GJH) instructed with “straighten your back” command (SYB). Methods. The study included 56 children with GJH. The control group consisted of children. Sacral slope (SS), lumbar lordosis (LL), global thoracic.

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Generalized Curvatures (Geometry and Computing, Vol. 2) th Edition by Jean-Marie Morvan (Author) ISBN ISBN X. Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The digit and digit formats both by: The central object of this book is the measure of geometric quantities describing N a subset of the Euclidean space (E,), endowed with its standard scalar product.

Let us state precisely what we mean by a geometric quantity. Consider a subset N S of points of the N-dimensional Euclidean space E. The central object of this book is the measure of geometric quantities describing N a subset of the Euclidean space (E,), endowed with its standard scalar product.

Let us state precisely what we mean by a geometric quantity. Consider a subset N S of points of the N-dimensional Euclidean space E, endowed with its standard N scalar product. Get this from a library. Generalized curvatures.

[J -M Morvan] -- "The intent of this book is to set the modern foundations of the theory of generalized curvature measures.

Following a historical and didactic approach, the book introduces the mathematical. Generalized Curvatures by Jean-Marie Morvan,available at Book Depository with free delivery worldwide. The intent of this book is to set the modern foundations of the theory of generalized curvature measures. This subject has a long history, beginning with J.

Steiner (), H. Weyl (), H. Federer (), P. Wintgen (), and continues today with young and brilliant mathematicians.

Request PDF | On Jan 1,Jean-Marie Morvan and others published Generalized Curvatures | Find, read and cite all the research you need on ResearchGate. Jean-Marie MORVAN: free download. Ebooks library. On-line books store on Z-Library | B–OK. Download books for free. Find books. In differential geometry, the Gaussian curvature or Gauss curvature Κ of a surface at a point is the product of the principal curvatures, κ 1 and κ 2, at the given point:.

For example, a sphere of radius r has Gaussian curvature 1 / r 2 everywhere, and a flat plane and a cylinder have Gaussian curvature zero everywhere. The Gaussian curvature can also be negative, as in the case of a. Part of the Geometry and Computing book series (GC, volume 2) This chapter applies our general approximation Theorem 71 for surfaces in E 3.

In Sect. we deal with a surface S approximated by another one, closely near it. The e-book Generalized Curvatures (Geometry and Computing, Vol. 2) is not only giving you more new information but also to become your friend when you feel bored.

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You never truly feel. Get this from a library. Generalized curvatures. [J -M Morvan] -- The intent of this book is to set the modern foundations of the theory of generalized curvature measures. This subject has a long history, beginning with J. Steiner, H. Weyl, H. Federer, P.

Wintgen. The intent of this book is to set the modern foundations of the theory of gene. In n-dimensional Euclidean space E n, harmonic curvatures of a non-degenerate curve defined by Özdamar and Hacisalihoğlu [Özdamar E, Hacısalihoglu HH.A characterization of Inclined curves in Euclidean Fac Sci Univ Ankara, Ser A1 ;–23].

In this paper, we give some characterizations for a non-degenerate curve α to be a generalized helix by using its harmonic curvatures. Roofing Ready Reckoner. Book Title:Roofing Ready Reckoner. Now fully revised, the third edition of this renowned book by Ralph Goss has been made even more valuable with the addition of many new illustrations, and takes into account not only traditional cut roof construction but also modern trussed rafter roof assembly methods.

The invariants of point‐trajectories, like the curvatures and the generalized curvatures, are described by the differential formulas of the Darboux frame of the point‐trajectory, while their local properties are discussed in the Frenet frame of the axodes, such as the geodesic Euler‐Savary equation of the special point‐trajectory and.

Following Stevens and others, the two principal curvatures, and, are used to characterize the local shape of the surface (along with the directions of the curvatures). These are the maximum and minimum local curvatures of the planar curves formed by intersecting a normal plane with the surface.

segmented generalized cylinders from light. Riemannian geometry has today become a vast and important subject. This new book of Marcel Berger sets out to introduce readers to most of the living topics of the field and convey them quickly to the main results known to date.

These results are stated without detailed proofs but the main ideas involved are described and motivated. This enables the reader to obtain a sweeping panoramic view.

In differential geometry, the Frenet–Serret formulas describe the kinematic properties of a particle moving along a continuous, differentiable curve in three-dimensional Euclidean space ℝ 3, or the geometric properties of the curve itself irrespective of any specifically, the formulas describe the derivatives of the so-called tangent, normal, and binormal unit vectors in terms.

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H. Hilmi Hacısalihoğlu's 26 research works with citations and 1, reads, including: Möbius-Type Hypersurface in 4-Space.Wolfram Language Revolutionary knowledge-based programming language. Wolfram Cloud Central infrastructure for Wolfram's cloud products & services. Wolfram Science Technology-enabling science of the computational universe.FrenetSerretSystem returns {{k 1,k n-1}, {e 1,e n}}, where k i are generalized curvatures and e i are the Frenet – Serret basis vectors.

The first basis vector e 1 is the unit tangent to the curve. Each successive vector is the orthonormalized derivative of the previous one. The last vector is chosen to complete a right-handed.