On isoparametric hypersurfaces in complex hyperbolic spaces Miguel Domínguez Vázquez (joint work with J. Carlos Díaz Ramos) International Meeting on Differential.

Slides:

Advertisements

Similar presentations

S ECOND B.I.G. M EETING R OME OCTOBER 2010.

Advertisements

Differentiation of Hyperbolic Functions. Differentiation of Hyperbolic Functions by M. Seppälä Hyperbolic Functions.

Complex numbers Definitions Conversions Arithmetic Hyperbolic Functions.

Isoparametric foliations on complex projective spaces Miguel Domínguez Vázquez Differential Geometry Days In honour of Luis A. Cordero Department of Geometry.

Real hypersurfaces with constant principal curvatures in complex projective and hyperbolic spaces Miguel Domínguez Vázquez (joint work with J. C. Díaz.

The Efficiency of Algorithms Chapter 4 Copyright ©2012 by Pearson Education, Inc. All rights reserved.

The Derivative and the Tangent Line Problem. Local Linearity.

Differential geometry I

Computer Aided Engineering Design

1/03/09 De 89 à 98. 1/03/09 De 89 à 98 1/03/09 De 89 à 98.

Department of Mathematics Differential Geometry with Applications

In a long history associated with the problem on iterating holomorphic mappings and their fixed points, the work of G. Julia, J. Wolff and C. Caratheodory.

Mathematics1 Mathematics 1 Applied Informatics Štefan BEREŽNÝ.

Hamdy N.Abd-ellah حمدي نور الدين عبد الله Department of Mathematics, Faculty of Science, Assiut University Assiut, Egypt جامعة أم القرى قسم الرياضيات.

MAT 3730 Complex Variables Section 1.1 The Algebra of Complex Numbers

The Power Rule and other Rules for Differentiation Mr. Miehl

Tangents and Differentiation

Fundamentals of Differential Geometry ( Part 2 )

In this section, we will consider the derivative function rather than just at a point. We also begin looking at some of the basic derivative rules.

GOAL: USE DEFINITION OF DERIVATIVE TO FIND SLOPE, RATE OF CHANGE, INSTANTANEOUS VELOCITY AT A POINT. 3.1 Definition of Derivative.

Lecture 1: Construction & Extension: Story of Numbers Addressed by Z.Liu.

Number Sets 1MPES2 Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal Attribute to: Pierre.

4.1: Techniques for Differentiation Objectives: Students will be able to… Apply the constant and power rule for differentiation Apply the sum and difference.

Differentiate means “find the derivative” A function is said to be differentiable if he derivative exists at a point x=a. NOT Differentiable at x=a means.

Da Nang-01/2015 Natural Science Department – Duy Tan University Lecturer: Ho Xuan Binh Directional Derivatives In this section, we will learn how to find:

Table of Contents Complex Numbers - Definition The number i is given by: We can also write the following: Numbers in the form of bi, where b is a real.

Chapter 12 Vector-Valued Functions. Copyright © Houghton Mifflin Company. All rights reserved.12-2 Definition of Vector-Valued Function.

Ch7: Linear Systems of Differential Equations

Entanglement in Quantum Gravity and Space-Time Topology

6.2 Antidifferentiation by Substitution Quick Review.

Rongjie Lai University of Southern California Joint work with: Jian Liang, Alvin Wong, Hongkai Zhao 1 Geometric Understanding of Point Clouds using Laplace-Beltrami.

10-1 人生与责任淮安工业园区实验学校连芳芳 “ 自我介绍 ” “ 自我介绍 ” 儿童时期的我.

。 33 投资环境 3 开阔视野提升竞争力。 3 嘉峪关市概况。 3 。 3 嘉峪关是一座新兴的工业旅游城市，因关得名，因企设市，是长城文化与丝路文化交汇点，是全国唯一一座以长城关隘命名的城市。嘉峪关关城位于祁连山、黑山之间。 1965 年建市，下辖雄关区、镜铁区、长城区，全市总面积 2935.

Principal curvatures of isoparametric hypersurfaces in complex hyperbolic spaces Miguel Domínguez Vázquez joint work with J. Carlos Díaz Ramos Conference.

Unit 2 Lesson #1 Derivatives 1 Interpretations of the Derivative 1. As the slope of a tangent line to a curve. 2. As a rate of change. The (instantaneous)

Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal

Section 14.2 Computing Partial Derivatives Algebraically

An Introduction to Riemannian Geometry

Carlos Xudiera November 30, 2011

مباحث ویژه مدیریت دولتی

1d Translational Order in Curved Substrate

Yahoo Mail Customer Support Number

Most Effective Techniques to Park your Manual Transmission Car

WELCOME TO Yourwayto Santiago. ABOUT US Looking to roam around pilgrimage route? Join us and follow the millennial road to the holy city of Santiago de.

How do Power Car Windows Ensure Occupants Safety

مراقبت خانواده محور در NICU

MATH CP Algebra II Exploring Rational Expressions

استخراج فلزات 1 آماده‌سازی بار. استخراج فلزات 1 آماده‌سازی بار.

Polar actions on complex hyperbolic spaces

دانشگاه شهیدرجایی تهران

Section 3.2 The Exponential, Trigonometric, and Hyperbolic Functions

تعهدات مشتری در کنوانسیون بیع بین المللی

Physics 111 Practice Problem Solutions 06 Work and Kinetic Energy SJ 8th Ed.: Ch. 7.1 – 7.5 Contents: 7-7E*, 7-15E, 7-19P, 7-22P, 7-23P, 7-25E*, 7-31E*,

بسمه تعالی کارگاه ارزشیابی پیشرفت تحصیلی

دومین کمیته مترجمین حاکمیت بالینی دانشگاه

Chapter 8 Section 8.2 Applications of Definite Integral

Submanifolds and holonomy Sergio Console

Chapter 6 Applications of Derivatives Section 6.2 Definite Integrals.

Differential Geometry

Chapter 7 Quotients.

TITLE OF THE PRESENTATION

ENG 1450 – October 21, 2015 quiz #2 (6-6:50) break (6:50-7)

Classification of null hypersurfaces in Robertson – Walker spacetimes.

Practice Geometry Practice

Differential Equations

Presentation transcript:

On isoparametric hypersurfaces in complex hyperbolic spaces Miguel Domínguez Vázquez (joint work with J. Carlos Díaz Ramos) International Meeting on Differential Geometry, Córdoba 2010 Department of Geometry and Topology University of Santiago de Compostela

Contents

Isoparametric hypersurfaces Basic definitions and notation

Isoparametric hypersurfaces General results

Isoparametric hypersurfaces The problem in space forms

Isoparametric hypersurfaces Generalization to more general ambient spaces

The problem in CP n and CH n Basic definitions

? 12345> ? The problem in CP n and CH n Real hypersurfaces with constant principal curvatures g h g h ??

The problem in CP n and CH n Behaviour of isoparametric hypersurfaces with respect to Hopf fibrations

The problem in CH n Isoparametric hypersurfaces in CH n

The problem in CH n New isoparametric hypersurfaces

Thanks for your attention!