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Erwin Lutwak

Full Professor Mathematics

    1975 …2019
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    Research Output 1975 2019

    • 74 Article
    • 5 Chapter (peer-reviewed)
    • 1 Editorial
    1990

    On Quermassintegrals of mixed projection bodies

    Lutwak, E., Jan 1990, In : Geometriae Dedicata. 33, 1, p. 51-58 8 p.

    Research output: Contribution to journalArticle

    Projection
    Convex Body
    Convexity
    Family

    On the affine isoperimetric inequality

    Lutwak, E., 1990, Differential geometry and its applications. Brno (ed.). World Scientific Publishing, p. 109-118

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    1989

    On a conjectured projection inequality of Petty

    Lutwak, E., 1989, Integral geometry and tomography: Arcata CA. American Mathematical Society, p. 171-182 (Contemporary Mathematics; vol. 113).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    1988

    Inequalities for Hadwiger's harmonic quermassintegrals

    Lutwak, E., Mar 1988, In : Mathematische Annalen. 280, 1, p. 165-175 11 p.

    Research output: Contribution to journalArticle

    Harmonic

    Intersection bodies and dual mixed volumes

    Lutwak, E., 1988, In : Advances in Mathematics. 71, 2, p. 232-261 30 p.

    Research output: Contribution to journalArticle

    Intersection Body
    Mixed Volume
    1987

    Mixed affine surface area

    Lutwak, E., Aug 1 1987, In : Journal of Mathematical Analysis and Applications. 125, 2, p. 351-360 10 p.

    Research output: Contribution to journalArticle

    Surface area

    Rotation means of projections

    Lutwak, E., Jun 1987, In : Israel Journal of Mathematics. 58, 2, p. 161-169 9 p.

    Research output: Contribution to journalArticle

    Projection
    Convex Body
    Power Mean
    Subspace
    Generalise
    1986

    On some affine isoperimetric inequalities

    Lutwak, E., 1986, In : Journal of Differential Geometry. 23, 1, p. 1-13 13 p.

    Research output: Contribution to journalArticle

    Isoperimetric Inequality

    Volume of mixed bodies

    Lutwak, E., Apr 1986, In : Transactions of the American Mathematical Society. 294, 2, p. 487-500

    Research output: Contribution to journalArticle

    1985

    INTRODUCTION

    Goodman, J. E., Lutwak, E., Malkevitch, J. & Pollack, R., 1985, In : Annals of the New York Academy of Sciences. 440, 1, p. ix-xii

    Research output: Contribution to journalEditorial

    Mixed projection inequalities

    Lutwak, E., 1985, In : Transactions of the American Mathematical Society. 287, 1, p. 91-106 16 p.

    Research output: Contribution to journalArticle

    Projection
    Geometry
    Convex Body
    Geometric Inequalities
    Affine geometry

    ON THE BLASCHKE‐SANTALÓ INEQUALITY

    Lutwak, E., 1985, In : Annals of the New York Academy of Sciences. 440, 1, p. 106-112 7 p.

    Research output: Contribution to journalArticle

    PREFACE

    Goodman, J. E., Lutwak, E., Malkevitch, J. & Pollack, R., 1985, In : Annals of the New York Academy of Sciences. 440, 1, p. vii-xii

    Research output: Contribution to journalArticle

    1984

    A general isepiphanic inequality

    Lutwak, E., 1984, In : Proceedings of the American Mathematical Society. 90, 3, p. 415-421 7 p.

    Research output: Contribution to journalArticle

    Power Mean
    Convex Body
    Projection
    Geometric Inequalities
    Isoperimetric Inequality

    On power means of positive quadratic forms

    Lutwak, E., 1984, In : Linear Algebra and Its Applications. 57, C, p. 13-19 7 p.

    Research output: Contribution to journalArticle

    Power Mean
    Quadratic form
    Positive definite
    Thing
    Matrix Inequality
    1983

    A width-diameter inequality for convex bodies

    Lutwak, E., Apr 30 1983, In : Journal of Mathematical Analysis and Applications. 93, 1, p. 290-295 6 p.

    Research output: Contribution to journalArticle

    Convex Body
    Power Mean
    1982

    On packing curves into circles

    Lutwak, E., 1982, Convexity and related combinatorial geometry: Norman, Oklahoma 1980. 107111. (Lecture Notes in Pure and Applied Mathematics; vol. 76).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    1980

    Isoperimetric inequalities involving bisectors

    Lutwak, E., 1980, In : Bulletin of the London Mathematical Society. 12, p. 289-295

    Research output: Contribution to journalArticle

    1979

    Isoperimetric inequalities related to a problem of Moser

    Lutwak, E., 1979, In : American Mathematical Monthly. 86, 6, p. 476-477

    Research output: Contribution to journalArticle

    Mean dual and harmonic cross-sectional measures

    Lutwak, E., Dec 1979, In : Annali di Matematica Pura ed Applicata, Series 4. 119, 1, p. 139-148 10 p.

    Research output: Contribution to journalArticle

    Harmonic
    Convex Body

    On a complementary Minkowski inequality

    Lutwak, E., 1979, In : Journal of Mathematical Analysis and Applications. 72, 1, p. 70-74 5 p.

    Research output: Contribution to journalArticle

    Brunn-Minkowski Inequality
    Minkowski's inequality
    1978
    Euler-Poincaré Characteristic
    Euler Characteristic
    Expected Value
    Hypersurface
    Euclidean
    1977

    Mixed width-integrals of convex bodies

    Lutwak, E., Sep 1977, In : Israel Journal of Mathematics. 28, 3, p. 249-253 5 p.

    Research output: Contribution to journalArticle

    Convex Body
    Mixed Volume
    Isoperimetric Inequality
    Concurrent
    Cross section
    1976

    A dual of the isepiphanic inequality

    Lutwak, E., Dec 1976, In : Archiv der Mathematik. 27, 1, p. 206-208 3 p.

    Research output: Contribution to journalArticle

    Characterization of the n-dimensional parallelotope

    Guggenheimer, H. & Lutwak, E., 1976, In : American Mathematical Monthly. 83, 6, p. 475-478

    Research output: Contribution to journalArticle

    On cross-sectional measures of polar reciprocal convex bodies

    Lutwak, E., May 1976, In : Geometriae Dedicata. 5, 1, p. 79-80 2 p.

    Research output: Contribution to journalArticle

    Convex Body
    1975

    Dual cross-sectional measures

    Lutwak, E., 1975, In : Atti Acccad Naz Lincei Rend Cl Sci Fis Mat Natur. 58, p. 1-5

    Research output: Contribution to journalArticle

    Dual mixed volumes

    Lutwak, E., 1975, In : Pacific Journal of Mathematics. 58, 2, p. 531-538

    Research output: Contribution to journalArticle

    General Bieberbach inequality

    Lutwak, E., 1975, In : Mathematical Proceedings of the Cambridge Philosophical Society. 78, NOV, p. 493-495

    Research output: Contribution to journalArticle

    Width-integrals of convex bodies

    Lutwak, E., 1975, In : Proceedings of the American Mathematical Society. 53, 2, p. 435-439

    Research output: Contribution to journalArticle