STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION … · 2002-09-03 · STABLE NORM ON HOMOLOGY...

11
STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION SURFACES Eugene Gutkin and Daniel Massart Comunicación Técnica No I-02-18/03-09-2002 (MB/CIMAT)

Transcript of STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION … · 2002-09-03 · STABLE NORM ON HOMOLOGY...

Page 1: STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION … · 2002-09-03 · STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION SURFACES Eugene Gutkin and Daniel Massart Comunicación

STABLE NORM ON HOMOLOGY AND

GEODESICS ON TRANSLATION SURFACES

Eugene Gutkin and Daniel Massart

Comunicación Técnica No I-02-18/03-09-2002 (MB/CIMAT)

Page 2: STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION … · 2002-09-03 · STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION SURFACES Eugene Gutkin and Daniel Massart Comunicación
Page 3: STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION … · 2002-09-03 · STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION SURFACES Eugene Gutkin and Daniel Massart Comunicación
Page 4: STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION … · 2002-09-03 · STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION SURFACES Eugene Gutkin and Daniel Massart Comunicación
Page 5: STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION … · 2002-09-03 · STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION SURFACES Eugene Gutkin and Daniel Massart Comunicación
Page 6: STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION … · 2002-09-03 · STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION SURFACES Eugene Gutkin and Daniel Massart Comunicación
Page 7: STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION … · 2002-09-03 · STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION SURFACES Eugene Gutkin and Daniel Massart Comunicación
Page 8: STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION … · 2002-09-03 · STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION SURFACES Eugene Gutkin and Daniel Massart Comunicación
Page 9: STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION … · 2002-09-03 · STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION SURFACES Eugene Gutkin and Daniel Massart Comunicación
Page 10: STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION … · 2002-09-03 · STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION SURFACES Eugene Gutkin and Daniel Massart Comunicación
Page 11: STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION … · 2002-09-03 · STABLE NORM ON HOMOLOGY AND GEODESICS ON TRANSLATION SURFACES Eugene Gutkin and Daniel Massart Comunicación

Equilibrium form of crystals and stable norm · with the stable norm on the second homology classes of a Riemannian 3-torus. Minimizing the total surface tension of the crystal leads

Equilibrium form of crystals and stable norm · with the stable norm on the second homology classes of a Riemannian 3-torus. Minimizing the total surface tension of the crystal leads

Geodesics on an ellipsoid of revolution.pdf

Geodesics on an ellipsoid of revolution.pdf

Tutorial Homology Modelling. A Brief Introduction to Homology Modeling.

Tutorial Homology Modelling. A Brief Introduction to Homology Modeling.

LIMITS IN OF TEICHMULLER GEODESICS - math.uchicago.edu

LIMITS IN OF TEICHMULLER GEODESICS - math.uchicago.edu

Geometry of geodesics through Busemann measures in ...

Geometry of geodesics through Busemann measures in ...

Quantum Variation about Geodesics - airccse.orgairccse.com/mathsj/papers/2115mathsj01.pdf · Quantum Variation about Geodesics ... the singularities and geodesic completeness of space

Quantum Variation about Geodesics - airccse.orgairccse.com/mathsj/papers/2115mathsj01.pdf · Quantum Variation about Geodesics ... the singularities and geodesic completeness of space

Long Geodesics on the Ellipsoid - HF Rainsford

Long Geodesics on the Ellipsoid - HF Rainsford

Sublinear deviation between geodesics and sample paths

Sublinear deviation between geodesics and sample paths

Unbalanced optimal transport and Hdiv minimizing geodesics

Unbalanced optimal transport and Hdiv minimizing geodesics

Lectures on Geodesics Riemannian Geometry

Lectures on Geodesics Riemannian Geometry

Reciprocal Geodesics - University of Edinburgh

Reciprocal Geodesics - University of Edinburgh

Geodesics in random geometry - People

Geodesics in random geometry - People

Differential geometry Lecture 19: Geodesics & curvature of ...

Differential geometry Lecture 19: Geodesics & curvature of ...

Homology modelling ? X-ray ? NMR ?. Homology Modelling !

Homology modelling ? X-ray ? NMR ?. Homology Modelling !

UNIQUE GEODESICS FOR THOMPSON’S METRIC …

UNIQUE GEODESICS FOR THOMPSON’S METRIC …

CLOSED GEODESICS WITH LOCAL HOMOLOGY IN ...perso.ens-lyon.fr/marco.mazzucchelli/preprints/max...CLOSED GEODESICS WITH LOCAL HOMOLOGY IN MAXIMAL DEGREE 3 We refer the reader to Sections

CLOSED GEODESICS WITH LOCAL HOMOLOGY IN ...perso.ens-lyon.fr/marco.mazzucchelli/preprints/max...CLOSED GEODESICS WITH LOCAL HOMOLOGY IN MAXIMAL DEGREE 3 We refer the reader to Sections

Finding Geodesics on Surfaces - Stanford Computer Science

Finding Geodesics on Surfaces - Stanford Computer Science

Fuzzy Geodesics and Consistent Sparse …funk/fuzzy_geodesics.pdfFuzzy Geodesics and Consistent Sparse Correspondences ... A geodesic is a parameterized curve ... Fuzzy Geodesics and

Fuzzy Geodesics and Consistent Sparse …funk/fuzzy_geodesics.pdfFuzzy Geodesics and Consistent Sparse Correspondences ... A geodesic is a parameterized curve ... Fuzzy Geodesics and

Chapter 13 Geodesics on Riemannian Manifolds

Chapter 13 Geodesics on Riemannian Manifolds

Morphological Homology Molecular homology Fine anatomy Gross anatomy

Morphological Homology Molecular homology Fine anatomy Gross anatomy