LEADER 06181nam 22014535 450 001 9910154743303321 005 20190708092533.0 010 $a1-4008-8183-8 024 7 $a10.1515/9781400881833 035 $a(CKB)3710000000631386 035 $a(SSID)ssj0001651334 035 $a(PQKBManifestationID)16426416 035 $a(PQKBTitleCode)TC0001651334 035 $a(PQKBWorkID)12555874 035 $a(PQKB)10811084 035 $a(MiAaPQ)EBC4738592 035 $a(DE-B1597)467995 035 $a(OCoLC)979579084 035 $a(DE-B1597)9781400881833 035 $a(EXLCZ)993710000000631386 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aStrong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 /$fG. Daniel Mostow 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$d©1974 215 $a1 online resource (205 pages) 225 0 $aAnnals of Mathematics Studies ;$v247 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-691-08136-0 320 $aIncludes bibliographical references. 327 $tFrontmatter -- $tContents -- $t§1. Introduction -- $t§2. Algebraic Preliminaries -- $t§3. The Geometry of ? : Preliminaries -- $t§4. A Metric Definition of the Maximal Boundary -- $t§5. Polar Parts -- $t§6. A Basic Inequality -- $t§7. Geometry of Neighboring Flats -- $t§8. Density Properties of Discrete Subgroups -- $t§8. Density Properties of Discrete Subgroups -- $t§ 10. Pseudo Isometries of Simply Connected Spaces with Negative Curvature -- $t§11. Polar Regular Elements in Co-Compact ? -- $t§ 12. Pseudo-Isometric Invariance of Semi-Simple and Unipotent Elements -- $t§13. The Basic Approximation -- $t§14. The Map ?? -- $t§15. The Boundary Map ?0 -- $t§16. Tits Geometries -- $t§17. Rigidity for R-rank > 1 -- $t§18. The Restriction to Simple Groups -- $t§19. Spaces of R-rank 1 -- $t§20. The Boundary Semi-Metric -- $t§21. Quasi-Conformal Mappings Over K and Absolute Continuity on Almost All R-Circles -- $t§22. The Effect of Ergodicity -- $t§23. R-Rank 1 Rigidity Proof Concluded -- $t§24. Concluding Remarks -- $tBibliography -- $tBackmatter 330 $aLocally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, Calabi-Vesentini, Weil, Borel, and Raghunathan.The proof combines the theory of semi-simple Lie groups, discrete subgroups, the geometry of E. Cartan's symmetric Riemannian spaces, elements of ergodic theory, and the fundamental theorem of projective geometry as applied to Tit's geometries. In his proof the author introduces two new notions having independent interest: one is "pseudo-isometries"; the other is a notion of a quasi-conformal mapping over the division algebra K (K equals real, complex, quaternion, or Cayley numbers). The author attempts to make the account accessible to readers with diverse backgrounds, and the book contains capsule descriptions of the various theories that enter the proof. 410 0$aAnnals of mathematics studies ;$vNumber 78. 606 $aRiemannian manifolds 606 $aSymmetric spaces 606 $aLie groups 606 $aRigidity (Geometry) 610 $aAddition. 610 $aAdjoint representation. 610 $aAffine space. 610 $aApproximation. 610 $aAutomorphism. 610 $aAxiom. 610 $aBig O notation. 610 $aBoundary value problem. 610 $aCohomology. 610 $aCompact Riemann surface. 610 $aCompact space. 610 $aConjecture. 610 $aConstant curvature. 610 $aCorollary. 610 $aCounterexample. 610 $aCovering group. 610 $aCovering space. 610 $aCurvature. 610 $aDiameter. 610 $aDiffeomorphism. 610 $aDifferentiable function. 610 $aDimension. 610 $aDirect product. 610 $aDivision algebra. 610 $aErgodicity. 610 $aErlangen program. 610 $aExistence theorem. 610 $aExponential function. 610 $aFinitely generated group. 610 $aFundamental domain. 610 $aFundamental group. 610 $aGeometry. 610 $aHalf-space (geometry). 610 $aHausdorff distance. 610 $aHermitian matrix. 610 $aHomeomorphism. 610 $aHomomorphism. 610 $aHyperplane. 610 $aIdentity matrix. 610 $aInner automorphism. 610 $aIsometry group. 610 $aJordan algebra. 610 $aMatrix multiplication. 610 $aMetric space. 610 $aMorphism. 610 $aMöbius transformation. 610 $aNormal subgroup. 610 $aNormalizing constant. 610 $aPartially ordered set. 610 $aPermutation. 610 $aProjective space. 610 $aRiemann surface. 610 $aRiemannian geometry. 610 $aSectional curvature. 610 $aSelf-adjoint. 610 $aSet function. 610 $aSmoothness. 610 $aStereographic projection. 610 $aSubgroup. 610 $aSubset. 610 $aSummation. 610 $aSymmetric space. 610 $aTangent space. 610 $aTangent vector. 610 $aTheorem. 610 $aTopology. 610 $aTubular neighborhood. 610 $aTwo-dimensional space. 610 $aUnit sphere. 610 $aVector group. 610 $aWeyl group. 615 0$aRiemannian manifolds. 615 0$aSymmetric spaces. 615 0$aLie groups. 615 0$aRigidity (Geometry) 676 $a516/.36 700 $aMostow$b G. Daniel, $0606388 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154743303321 996 $aStrong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78$92785740 997 $aUNINA LEADER 04146nam 2200841z- 450 001 9910557621203321 005 20220321 035 $a(CKB)5400000000045205 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/79593 035 $a(oapen)doab79593 035 $a(EXLCZ)995400000000045205 100 $a20202203d2022 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aMulti-Sensory Interaction for Blind and Visually Impaired People 210 $aBasel$cMDPI - Multidisciplinary Digital Publishing Institute$d2022 215 $a1 online resource (300 p.) 311 08$a3-0365-3058-4 311 08$a3-0365-3059-2 330 $aThis book conveyed the visual elements of artwork to the visually impaired through various sensory elements to open a new perspective for appreciating visual artwork. In addition, the technique of expressing a color code by integrating patterns, temperatures, scents, music, and vibrations was explored, and future research topics were presented. A holistic experience using multi-sensory interaction acquired by people with visual impairment was provided to convey the meaning and contents of the work through rich multi-sensory appreciation. A method that allows people with visual impairments to engage in artwork using a variety of senses, including touch, temperature, tactile pattern, and sound, helps them to appreciate artwork at a deeper level than can be achieved with hearing or touch alone. The development of such art appreciation aids for the visually impaired will ultimately improve their cultural enjoyment and strengthen their access to culture and the arts. The development of this new concept aids ultimately expands opportunities for the non-visually impaired as well as the visually impaired to enjoy works of art and breaks down the boundaries between the disabled and the non-disabled in the field of culture and arts through continuous efforts to enhance accessibility. In addition, the developed multi-sensory expression and delivery tool can be used as an educational tool to increase product and artwork accessibility and usability through multi-modal interaction. Training the multi-sensory experiences introduced in this book may lead to more vivid visual imageries or seeing with the mind's eye. 606 $aPaintings and painting$2bicssc 606 $aThe Arts$2bicssc 610 $aaccessibility 610 $aaccessibility technology 610 $aaesthetics 610 $aart appreciation 610 $aassistive technology 610 $aauditory interface 610 $aauralization 610 $ablind 610 $acolor 610 $acolor identification 610 $acolor sound coding 610 $across modular association 610 $aexhibition environments 610 $aimage accessibility 610 $amedia art 610 $amulti-sensory 610 $amulti-sensory interaction 610 $amulti-sensory interface 610 $amultimedia data processing 610 $amultimodal interaction 610 $amuseum exhibits 610 $amusic recommendation system 610 $an/a 610 $anonvisual feedback 610 $apeople with visual impairment 610 $ascent interface 610 $asoundscape music 610 $asystematic review 610 $atactile perception 610 $atemperature-depth coding 610 $athermal interaction 610 $atouch interface 610 $atouchscreen 610 $auniversal design 610 $auser experience 610 $avision impairment 610 $avisual impairment 610 $avisually impaired 610 $avisually impaired people 610 $aweakly supervised learning 615 7$aPaintings and painting 615 7$aThe Arts 700 $aCho$b Jun Dong$4edt$01325364 702 $aCho$b Jun Dong$4oth 906 $aBOOK 912 $a9910557621203321 996 $aMulti-Sensory Interaction for Blind and Visually Impaired People$93036802 997 $aUNINA