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| Schneider R. — Convex Bodies: The Brunn-Minkowski Theory |
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| Предметный указатель |
Martini, H. 3.5 7.3 7.4
Mase, S. 3.1
Matheron, G. 1.8 3.1 3.2 3.5 4.2 4.4 4.5 5.1 5.3 6.5
Matsumura, S. 6.4 Appendix
Mazur, S. 2.2
McKinney, R L. 1.3
McMinn, T.J. 2.3
McMullen, P. 1.2 1.7 1.8 2.1 2.4 2.5 3.2 3.4 3.5 4.2 4.5 5.1 7.1 7.3 7.4
Mean, curvature 106
Mean, width 42
Measure 183
Measure, contact 260
Measure, curvature 203
Measure, curvature, generalized 202
Measure, even 183
Measure, length 215
Measure, locally defined 206
Measure, log-concave 315
Measure, of symmetry, Minkowski 141
Measure, signed 183
Mecke, J. 3.1 4.5
Meier, Ch, 5.1 5.2 5.4
Meissner, E. 3.5 5.4 Appendix
Melzak, Z.A. 2.5
Menger, K. 1.8
Meschkowski, H. 3.1
Metric, entropy 60
Metric, projection 9
Meyer, M. 2.4 3.2 3.4 4.2 7.4
Meyer, P. 4.2
Meyer, W. 3 2
Michael, E. 1.8
Miles, R.E. 4.5
Milka, A.D. 3.2
Milman, D. 1.4
Milman, V.D. 3.3 3.5 6.1 7.4 Appendix
Minimal width 42
Minkowski addition 41
Minkowski additive function 41
Minkowski difference 133
Minkowski functional 209
Minkowski linear map 166
Minkowski map 166
Minkowski subtraction 126 133
Minkowski symmetrization 165
Minkowski's existence theorem 390
Minkowski's inequalities 317 321
Minkowski's measure of symmetry 141
Minkowski's theorem 19
Minkowski, H. 1.4 2.2 3.1 3.3 5.1 5.4 6.1 6.2 6.6 7.1 7.2 Appendix
Minkowskian integral formulae 291 300
Minoda, T. Appendix
Miranda, C. 7.1
Mityagin, B.S. 6.1
Mixed affine surface area 424
Mixed area 321
Mixed area measure 274
Mixed body 396
Mixed brightness 422
Mixed curvature function 115
Mixed discriminant 115 383 388
Mixed moment vector 303
Mixed projection body 421
Mixed volume 272
Mixed width integral 385
Molter, U.M. 4.5
Moment vector 303
Monotypic polytope 103 153
Moore, J.D. 7.2
Motzkin, T.S. 1.2
Mueller, C. 4.4 5.4 Appendix
Mueller, H.R. 5.4
Mueller, W. 4.4
Murner, P. 3.5
Nadenik, Z. 6.2 7.1
Nadler, S.B. 1.8
Nakajima, S. 5.4 Appendix
Nearest-point map 9
Negative type 194
Netuka, I. 2.6
Neveu, J 4.5
Newman, D.J. 2.3
Neyman, A. 3.3
Nieliborc, W. 5.4
Nirenberg, L. 7.1
Nomothetic sets xii
Normal cone 70
Normal point 116
Normal vector xi 70 96
Normal vector, exposed 74
Normal vector, exterior 11 70
Normal vector, extreme 74 76
Normal vector, outer 11 70 96
Normal vector, outward 70
Normal vector, r-exposed 75
Normal vector, r-extreme 74
Normal vector, regular 77
Normal vector, singular 77
Normalized convex body 150
O'Brien, R.C. 3.1
Oda, T. 6.2
Ohmann, D. 4.2 6.1 6.2 6.4
Ohshio, S. 6.5
Oishi, K. Appendix
Oliker, V.I. 7.1 7.2
Opening of set A by set B 138
Osserman, R. 6.2
Outer normal vector 11 70 96
Outer parallel body 134 197
Outward normal vector 70
Overhagcn, T. 5.3
p-quermassintegral 384
p-sum 383
Pach, J. 7 1
Pair of constant width 139
Pajor, A. 6.1 7.4
Panina, G. Yu, 3.5
Panov, A.A. 6.8
Papaderou-Vogiatzaki, I. 4.5
Papadopoulou, S. 2.1
Parallel body 134
Parallel body, relative 134
Paya, R. 3.2
Perfect face 73
Perles, M.A. 3.4 4.4
Petermann, E. 6.2
Petty projection inequality 387 416
Petty, C.M. 3.5 7.4 Appendix
Phelps, R.R. 1.4 3.3
Phillips, R.S. 1.7
Pisier, G. 6.1 7.4
Pogorelov, A, V. 4.3 7.1 7.2
Point, affinely independent x
Point, Euler 116
Point, exposed 19 65
Point, extreme 18 65
Point, internal 7
Point, normal 116
Point, r-exposed 65
Point, r-singular 73
Point, regular 73
Point, Santalo 419
Point, singular 73
Point, smooth 73 153
Polar, body 33
Polar, projection body 414
Polytope 3 49
Polytope, locally similar 101
Polytope, monotypic 103 153
Polytope, simple 99
| Polytope, simplicial 99
Polytope, space-filling 192
Polytope, strongly combinatorially equivalent 101
Polytope, strongly isomorphic 101
Pontrjagin, L.S. 3.3
Porous set 124
Positive basis 17
Positive combination 2
Positive definite function 194
Positive hull 2
Positive reach 212
Positively homogeneous function 26
Positively homothetic set xii
Positsel'skii, E.D. 3.4
Pranger, W. 1.4
Prekopa, A. 6.1
Principal curvatures 105
Principal kinematic formula 229
Principal radii of curvature 108
Projection body 296 414
Projection cone 70
Prolongation 138
Proper face 62
Proper function 21
Proper rigid motion xii
Proper separation 12
Przeslawski, K 1.8 3.4
Quermassintegral 209
Quermassintegral, affine 387
Quermassintegral, dual 386
Quermassintegral, dual affine 387
Quermassintegral, harmonic 386
Quermassintegral, p- 384
Quermassvector 304
Quinn, J. 1.8
r-exposed normal vector 75
r-exposed point 65
r-exposed support plane 75
r-extreme normal vector 74
r-extreme point 65
r-extreme support plane 74
r-singular point 73
r-skeleton 65
r-skeleton, exposed 65
Rademacher, H. 1.7
Radial function 44 416
Radial map 79
Radius of curvature 104
Radius of curvature, Jessen 117
Radius of curvature, lower 104
Radius of curvature, principal 108
Radius of curvature, tangential 119
Radius of curvature, upper 104
Radon's theorem 4
Radon, J. 1.1 3.3
Radstrom, H. 1.8
Random closed set 255
Ratschek, H. 1.8
Rauch, J 2.5 3.2
Ray xi
Ray, extreme 18
Reay, J.R. 1.1 1.3
Recession cone 17
Reducible convex body 141 156
Regular normal vector 77
Regular point 73
Regular support plane 77
Reidemeister, K. 2.2 3.5
Reisner, S. 7.4
Reiter, H.B. 2.1
Relative boundary xi
Relative indecomposability 157
Relative inradius 135
Relative interior xi
Relative parallel body 134
Relatively indecomposable set 157
Renyi, A. 6.5
Resetnjak, Ju, G. 1.5 7.2 Appendix
Residual set 119
Reuleaux, F. 3.5
Reverse second fundamental form 107
Reverse spherical image 78
Reverse spherical image map 78 107
Reverse Weingarten map 107
Rham, G. de 2.6
Ricker, W 3.3
Rickert, N.W. 3.5
Riesz, F. 1.7
Rigid motion xii
Rigid motion invariant function 42
Rigid motion, improper xii
Rigid motion, proper xi
Rivin, I. 7.4
Roberts, A.W. 1.5
Rockafellar, R.T. 1.1 1.4—1.7
Rogers, C.A. 1.8 2.1 2.3 3.2 7.1 7.3 7.4
Rolling theorem 155
Rota, G.-C 3 4
Rotation xii
Rotation mean 161
Rother, W. 4.5
Rotor 190 196
Rov, N.M. 1.4
Roy, A.K. 1.4 3.1 5.4
Roy, S.N. 5.4
Rubinov, A.M. 7.1
Sacksteder, R. 2.5
Saint Pierre, J. 1 8 3.3 3.4
Saint Raymond, J. 7.4
Saks, M. 6.3
Salinetti, G. 1.8
Sallee, G.T. 2.5 3.1 3.2 3.4 4.4
Sandgren, L. 1.7
Sangwine-Yager, J.R. 6.2 6.5 6.6
Sanlalo, L.A. 4.2 4.5 5.3 6.2 6.4 7.4
Santalo point 419
Sas, E. Appendix
SaSkin, Ju, A. 1.4
Sceley, R.T. 2.5 Appendix
Schaal, H. 3.5
Schmidt, E. 6.1
Schmidt, K.D. 1.8
Schmitt, K.A. 3.1 3.4
Schneider, R. 1.7 1.8 2.1 2.3—2.6 3.1—3.5 4.2—4.6 5.1—5.4 6.2 6.3 6.5—6.8 7.1—7.4 Appendix
Schori, R.M. 1.8
Schrader, R. 4.4
Schroder, G. 1.8
Schurger, K. 3.1
Schutt, C. 7.4
Schwarz, T. 2.6
Secger, A. 1.5
Second category 119
Second fundamental form 105
Semiaxis function 46
Sen'kin, E.P. 4.3
Separation 12
Separation, proper 12
Serra, J. 3.1
Set, convex 1
Set, convex, continuous 46
Set, critical 141
Set, H-convex 350
Set, homothetic xii
Set, indecomposable convex 157
Set, indecomposable non-convex 157
Set, line-free 17
Set, local parallel 198
Set, porous 124
Set, positively homothetic xii
Set, random closed 255
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